Q: Is the gcf of an odd number and an even number is always even?

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It is NEVER even. Because no even number can be a factor of the odd number.

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

Not sure what the GFC is but if you meant GCF, the answer is no, it is never even.

Yes and yes.

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

Related questions

The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.

The GCF of an odd and even number is never even.

It's not. It's always odd.

No, it is not.

It is NEVER even. Because no even number can be a factor of the odd number.

No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.

No, it is not.

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 of an odd and an even number must be odd since odd numbers do not have any even factors.

No not always as for example the GCF of 7 and 21 is 7

no. try 6 and 15. their GCF = 3 (odd)

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