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the smallest common factor is 1 and the gcf is 25.
125 and 33 has no common factors except 1.factors of:25: 1, 5, 2533: 1, 3, 11, 33
No. The smallest coefficient possible is 1, and the smallest GCF is also 1. You cannot have a common factor of zero.
There is no such thing as the smallest common factor. I guess the smallest common factor (integers only) for 16 and 24 would be -8. But that's just the negative version of the greatest common factor. I think you meant to ask either what is the smallest common multiple of 16 and 24 or what is the greatest common factor of 16 and 24. The greatest common factor of 16 and 24 is 8. The smallest common multiple of 16 and 24 is 48.
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