Let $n$ be a positive integer.  How many different values can $\gcd(n + 5, n + 11)$ attain?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $n$ be a positive integer.  How many different values can $\gcd(n + 5, n + 11)$ attain?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
4
Let $n$ be a positive integer.  How many different values can $\gcd(n + 5, n + 11)$ attain?
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