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Q: Is the gcf of 2 odd numbers always odd?

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no, the GCF for 4 and 2 would be 2, which is even

No. The gcf of 98 and 100 is 2 .

No. The GCF of 3 and 5 is 1. The GCF of 3 and 9 is 3.

Two odd numbers are always even

No, never.

No.

Because odd numbers don't have any even factors so they can't have any in common.

If x is an odd number that is a common factor of 2 even numbers, so is 2x. So the answer is yes.

Yes.

Two even numbers won't have an odd GCF.

Yes. The odd number does not have 2 as a factor (or else the number would be even). So the gcf does not have 2 as a factor. So the gcf must be odd.

The GCF is 1.

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