Is the greatest common factor always even?

Anonymous

∙ 7y ago

Updated: 8/21/2019

No.

If at least one of the numbers odd, then it does not have a factor of 2 and so all common factors cannot be divisible by 2 (ie must be odd), and so the greatest of them must also be odd.

For example gcf{12, 15) = 3

Wiki User

∙ 7y ago

What else can I help you with?

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

No, always odd.

Is the greatest common factor of two even numbers always sometimes or never even?

Always even.

Is the greatest common factor of an odd number in even numbers always even?

No.

Is the greatest common factor of any even numbers always even?

Yes.

Is the greatest common factor of two even numbers always two?

No, but it's always an even number.

Is the greatest common factor of any two even numbres always even?

Yes.

What do you do in greatest common factor when there aren't any pairs?

There is always a common factor, even if it's only 1.

Is the greatest common factor of any two even numbers is always even?

No, it is never even.

Is the greatest common factor of any odd number and even number always even?

No, always odd.

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

No. Odd numbers only have odd factors. They could not have an even factor in common.

Is the greatest common factor factor of a odd number and a even number always even?

No, the GCF of 6 and 7 is 1.

Is the greatest common factor of an odd and even number always 1?

No, the GCF of an odd an even number is not always 1. Odd and even numbers can share factors other than 1. For example, the greatest common factor of 5 and 10 is 5.

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