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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.

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Q: Is the GCF of any two numbers always odd and why?

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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 any set of odd numbers is odd because odd numbers don't have any even factors.

Any set of odd numbers, yes.

No, always odd.

Yes.

Yes.

The GCF will, yes.

The GCF is, yes.

Yes.

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

True.

No, always odd. Since odd numbers don't have any even factors, they can't have any in common.

Yes and yes.

Odd numbers only have odd factors. The GCF would have to be odd.

No. The gcf of 98 and 100 is 2 .

The GCF of any two odd numbers is also odd.

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

The gcf of a single number is the number itself. But you will usually want to take the gcf of more than one number, not of a single number.

Yes.

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

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

Yes, it has to be odd.

The GCF is, yes.

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

Yes.