diff --git a/moto/cloudformation/parsing.py b/moto/cloudformation/parsing.py
--- a/moto/cloudformation/parsing.py
+++ b/moto/cloudformation/parsing.py
@@ -793,17 +793,7 @@ def update(
         for logical_name in resource_names_by_action["Remove"]:
             resource_json = self._resource_json_map[logical_name]
             resource = self._parsed_resources[logical_name]
-            # ToDo: Standardize this.
-            if hasattr(resource, "physical_resource_id"):
-                resource_name = self._parsed_resources[
-                    logical_name
-                ].physical_resource_id
-            else:
-                resource_name = None
-            parse_and_delete_resource(
-                resource_name, resource_json, self._account_id, self._region_name
-            )
-            self._parsed_resources.pop(logical_name)
+            self._delete_resource(resource, resource_json)
 
         self._template = template
         if parameters:
@@ -859,24 +849,12 @@ def delete(self) -> None:
                         not isinstance(parsed_resource, str)
                         and parsed_resource is not None
                     ):
-                        try:
-                            parsed_resource.delete(self._account_id, self._region_name)
-                        except (TypeError, AttributeError):
-                            if hasattr(parsed_resource, "physical_resource_id"):
-                                resource_name = parsed_resource.physical_resource_id
-                            else:
-                                resource_name = None
-
-                            resource_json = self._resource_json_map[
-                                parsed_resource.logical_resource_id
-                            ]
-
-                            parse_and_delete_resource(
-                                resource_name,
-                                resource_json,
-                                self._account_id,
-                                self._region_name,
-                            )
+
+                        resource_json = self._resource_json_map[
+                            parsed_resource.logical_resource_id
+                        ]
+
+                        self._delete_resource(parsed_resource, resource_json)
 
                         self._parsed_resources.pop(parsed_resource.logical_resource_id)
                 except Exception as e:
@@ -889,6 +867,24 @@ def delete(self) -> None:
         if tries == 5:
             raise last_exception
 
+    def _delete_resource(
+        self, parsed_resource: Any, resource_json: Dict[str, Any]
+    ) -> None:
+        try:
+            parsed_resource.delete(self._account_id, self._region_name)
+        except (TypeError, AttributeError):
+            if hasattr(parsed_resource, "physical_resource_id"):
+                resource_name = parsed_resource.physical_resource_id
+            else:
+                resource_name = None
+
+            parse_and_delete_resource(
+                resource_name,
+                resource_json,
+                self._account_id,
+                self._region_name,
+            )
+
 
 class OutputMap(collections_abc.Mapping):  # type: ignore[type-arg]
     def __init__(self, resources: ResourceMap, template: Dict[str, Any], stack_id: str):
diff --git a/moto/sns/models.py b/moto/sns/models.py
--- a/moto/sns/models.py
+++ b/moto/sns/models.py
@@ -139,36 +139,20 @@ def create_from_cloudformation_json(  # type: ignore[misc]
     @classmethod
     def update_from_cloudformation_json(  # type: ignore[misc]
         cls,
-        original_resource: Any,
+        original_resource: "Topic",
         new_resource_name: str,
         cloudformation_json: Any,
         account_id: str,
         region_name: str,
     ) -> "Topic":
-        cls.delete_from_cloudformation_json(
-            original_resource.name, cloudformation_json, account_id, region_name
-        )
+        original_resource.delete(account_id, region_name)
         return cls.create_from_cloudformation_json(
             new_resource_name, cloudformation_json, account_id, region_name
         )
 
-    @classmethod
-    def delete_from_cloudformation_json(  # type: ignore[misc]
-        cls,
-        resource_name: str,
-        cloudformation_json: Any,
-        account_id: str,
-        region_name: str,
-    ) -> None:
-        sns_backend = sns_backends[account_id][region_name]
-        properties = cloudformation_json["Properties"]
-
-        topic_name = properties.get(cls.cloudformation_name_type()) or resource_name
-        topic_arn = make_arn_for_topic(account_id, topic_name, sns_backend.region_name)
-        subscriptions, _ = sns_backend.list_subscriptions(topic_arn)
-        for subscription in subscriptions:
-            sns_backend.unsubscribe(subscription.arn)
-        sns_backend.delete_topic(topic_arn)
+    def delete(self, account_id: str, region_name: str) -> None:
+        sns_backend: SNSBackend = sns_backends[account_id][region_name]
+        sns_backend.delete_topic(self.arn)
 
     def _create_default_topic_policy(
         self, region_name: str, account_id: str, name: str

Thanks for raising this @pwrmiller - marking it as a bug. I'll submit a PR to fix this shortly.
diff --git a/tests/test_sns/test_sns_cloudformation.py b/tests/test_sns/test_sns_cloudformation.py
--- a/tests/test_sns/test_sns_cloudformation.py
+++ b/tests/test_sns/test_sns_cloudformation.py
@@ -1,6 +1,7 @@
 import boto3
 import json
 import sure  # noqa # pylint: disable=unused-import
+import pytest
 
 from moto import mock_cloudformation, mock_sns
 
@@ -8,24 +9,7 @@
 @mock_cloudformation
 @mock_sns
 def test_sns_topic():
-    dummy_template = {
-        "AWSTemplateFormatVersion": "2010-09-09",
-        "Resources": {
-            "MySNSTopic": {
-                "Type": "AWS::SNS::Topic",
-                "Properties": {
-                    "Subscription": [
-                        {"Endpoint": "https://example.com", "Protocol": "https"}
-                    ],
-                    "TopicName": "my_topics",
-                },
-            }
-        },
-        "Outputs": {
-            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
-            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
-        },
-    }
+    dummy_template = get_template(with_properties=True)
     template_json = json.dumps(dummy_template)
     cf = boto3.client("cloudformation", region_name="us-west-1")
     cf.create_stack(StackName="test_stack", TemplateBody=template_json)
@@ -56,24 +40,7 @@ def test_sns_topic():
 @mock_cloudformation
 @mock_sns
 def test_sns_update_topic():
-    dummy_template = {
-        "AWSTemplateFormatVersion": "2010-09-09",
-        "Resources": {
-            "MySNSTopic": {
-                "Type": "AWS::SNS::Topic",
-                "Properties": {
-                    "Subscription": [
-                        {"Endpoint": "https://example.com", "Protocol": "https"}
-                    ],
-                    "TopicName": "my_topics",
-                },
-            }
-        },
-        "Outputs": {
-            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
-            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
-        },
-    }
+    dummy_template = get_template(with_properties=True)
     sns_template_json = json.dumps(dummy_template)
     cf = boto3.client("cloudformation", region_name="us-west-1")
     cf.create_stack(StackName="test_stack", TemplateBody=sns_template_json)
@@ -104,25 +71,9 @@ def test_sns_update_topic():
 
 @mock_cloudformation
 @mock_sns
-def test_sns_update_remove_topic():
-    dummy_template = {
-        "AWSTemplateFormatVersion": "2010-09-09",
-        "Resources": {
-            "MySNSTopic": {
-                "Type": "AWS::SNS::Topic",
-                "Properties": {
-                    "Subscription": [
-                        {"Endpoint": "https://example.com", "Protocol": "https"}
-                    ],
-                    "TopicName": "my_topics",
-                },
-            }
-        },
-        "Outputs": {
-            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
-            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
-        },
-    }
+@pytest.mark.parametrize("with_properties", [True, False])
+def test_sns_update_remove_topic(with_properties):
+    dummy_template = get_template(with_properties)
     sns_template_json = json.dumps(dummy_template)
     cf = boto3.client("cloudformation", region_name="us-west-1")
     cf.create_stack(StackName="test_stack", TemplateBody=sns_template_json)
@@ -142,26 +93,9 @@ def test_sns_update_remove_topic():
 
 @mock_cloudformation
 @mock_sns
-def test_sns_delete_topic():
-    dummy_template = {
-        "AWSTemplateFormatVersion": "2010-09-09",
-        "Resources": {
-            "MySNSTopic": {
-                "Type": "AWS::SNS::Topic",
-                "Properties": {
-                    "Subscription": [
-                        {"Endpoint": "https://example.com", "Protocol": "https"}
-                    ],
-                    "TopicName": "my_topics",
-                },
-            }
-        },
-        "Outputs": {
-            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
-            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
-        },
-    }
-    sns_template_json = json.dumps(dummy_template)
+@pytest.mark.parametrize("with_properties", [True, False])
+def test_sns_delete_topic(with_properties):
+    sns_template_json = json.dumps(get_template(with_properties))
     cf = boto3.client("cloudformation", region_name="us-west-1")
     cf.create_stack(StackName="test_stack", TemplateBody=sns_template_json)
 
@@ -173,3 +107,20 @@ def test_sns_delete_topic():
 
     topics = sns.list_topics()["Topics"]
     topics.should.have.length_of(0)
+
+
+def get_template(with_properties):
+    dummy_template = {
+        "AWSTemplateFormatVersion": "2010-09-09",
+        "Resources": {"MySNSTopic": {"Type": "AWS::SNS::Topic"}},
+        "Outputs": {
+            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
+            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
+        },
+    }
+    if with_properties:
+        dummy_template["Resources"]["MySNSTopic"]["Properties"] = {
+            "Subscription": [{"Endpoint": "https://example.com", "Protocol": "https"}],
+            "TopicName": "my_topics",
+        }
+    return dummy_template

mock_cloudformation with SNS fails to delete stack
Using the mock_cloudformation, creating a stack containing a single SNS topic, then deleting the stack fails with an invalid ARN 

## Reproduction steps:

```python
def test_failure(cloudformation_mock):
    cloudformation_mock.create_stack(
        StackName="test-stack",
        TemplateBody='{"Resources": {"Bucket": {"Type": "AWS::SNS::Topic"}}}'
    )
    cloudformation_mock.delete_stack(StackName="test-stack")
```

Error is:
```
E           botocore.exceptions.ClientError: An error occurred (NotFound) when calling the DeleteStack operation: Topic with arn arn:aws:sns:us-east-1:123456789012:arn:aws:sns:us-east-1:123456789012:test-stack-Bucket-RYQRXXZJ9IRT not found
```

Note the duplicated and invalid ARN - for some reason moto has duplicated the ARN in this resource. This does not happen for other simple resources (e.g. S3 bucket). I would expect the ARN to match what is generated by the template. 

## Version:

- moto 4.1.9
- boto3 1.26.129
- botocore 1.29.129


tests/test_sns/test_sns_cloudformation.py::test_sns_update_remove_topic[False] tests/test_sns/test_sns_cloudformation.py::test_sns_delete_topic[False]
tests/test_sns/test_sns_cloudformation.py::test_sns_delete_topic[True] tests/test_sns/test_sns_cloudformation.py::test_sns_update_remove_topic[True] tests/test_sns/test_sns_cloudformation.py::test_sns_update_topic tests/test_sns/test_sns_cloudformation.py::test_sns_topic