If the number is odd, that's the answer.
If the number is even, write down all the factors and choose the largest one that is odd.
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No. Odd numbers only have odd factors. They could not have an even factor in common.
A perfect square has an odd number of factors.
No. 255 is an odd number.
3 or 7
Because odd numbers don't have any even factors so they can't have one in common.