Q: Is the gcf of an odd or even number ALWAYS 1?

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

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

No. The GCF of 6 and 15 is 3.

No, the GCF of 6 and 7 is 1.

No, their GCF is always odd.

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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.

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.

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)

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.