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Q: Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?

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The GCF of two even numbers is even.

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

Because the GCF is the largest factor common to all the numbers in the sample. The LCM is the smallest number that all the sample numbers will divide into !

Yes

Hardly ever.

Related questions

The GCF of two even numbers is always even.

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 not always even. * * * * * Yes. Since the numbers are even, 2 must be a common factor and so the GCF is a multiple of 2.

A set of even numbers, yes.

No. For example, the GCF of 8 and 12 is 4. The GCF of 12 and 18 is 6. The Greatest Common Factor of two even numbers will always be even, but it will not always be 2.

Yes.

Yes.

All even numbers have two as a factor. Since two will be a common factor of any set of even numbers, the GCF will also have two as a factor, making it even.

Yes.

Yes.

That is correct.

Yes.

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