As $n$ ranges over the positive integers, what is the maximum possible value that the greatest common divisor of $13n + 8$ and $5n+3$ can take?
Question:
As $n$ ranges over the positive integers, what is the maximum possible value that the greatest common divisor of $13n + 8$ and $5n+3$ can take?
Answer:
Let's think step by step.

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As $n$ ranges over the positive integers, what is the maximum possible value that the greatest common divisor of $13n + 8$ and $5n+3$ can take?
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