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Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater.

Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.

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

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Related questions

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.

Yes, the greatest common factor of two different prime numbers is always 1

No, the greatest common factor of two even numbers is not always two. For instance, the GCF of 4 and 8 is 4.

No.

The least (meaning lowest) common factor of any set of whole numbers is always 1. The greatest common factor of any set of whole numbers will depend on the factors of the individual whole numbers in the set.

The greatest common factor of two numbers has to show up on the lists of factors of both numbers.

The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.

No. The greatest common factor of any two or more numbers is always the single highest common factor.

Yes.

Yes.

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.

yes

Yes.

Yes.

It will always be 1.

Yes.

Yes.

No.

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