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Q: Can an odd number and an even number has a gcf?

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

odd

No. Since odd numbers don't have any even factors, the GCF of odd and even must be odd.

No, always odd.

No, always odd.

No, always odd.

No, their GCF is always 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 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.

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

It's not. It's always odd.

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.

No. Odd numbers don't have even factors.

No.

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

30 is the even number.

It CAN'T be even, since the number 2 is not a factor of the odd number. "Even" means that a number is a multiple of 2.

No.

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

That can never be an even number.

It is false.

34 or 68

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