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

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Q: Is gcf of an odd number and an even number always even?
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Related questions

Is the GCF of any 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.


Is the gcf of a odd number and an even number always even?

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


Why is The GCF of an odd number in a even number is always even?

It's not. It's always odd.


Is the gcf of an even number and an odd number always even?

No, it is not.


Is the gcf of an odd and even number always even?

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.


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

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.


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

No, it is not.


Is it true that the gcf of an odd and an even number is always an odd number?

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.


Can the greatest common factor of an odd and even number always even?

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


Are there any 2 even numbers that the GCF is an odd number?

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


Is the greatest common factor if an odd number and an even number always even?

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


Why is the gcf of an odd number and an even number always odd?

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