Find the greatest common divisor of $10! + 2$ and $11! + 8$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the greatest common divisor of $10! + 2$ and $11! + 8$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
Find the greatest common divisor of $10! + 2$ and $11! + 8$.
train