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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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โˆ™ 2012-09-18 12:05:55
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Q: Is the greatest common factor of two even numbers always even?
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Related questions

Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

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


Is the greatest common factor of two different prime numbers always 1?

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


Is the Greatest Common Factor of two even numbers always 2?

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


Is the greatest common factor of two numbers is equal to Lester of the numbers always?

No.


Why do you have greatest common factor and not least common factor?

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.


Why does the listing method always works to find the greatest common factor?

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


What is the greatest factor that two or more numbers have in common?

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


Can there be 2 greatest common factors?

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


Is the greatest common factor odd numbers will always odd?

Yes.


Is the Greatest common factor of odd numbers always odd?

Yes.


What is the greatest common factor of 410?

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.


What is greatest common factor of 39?

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.


What is the greatest common factor for 28?

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.


Greatest common factor of 42?

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.


What is the greatest common factor for 712?

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.


What is the greatest common factor of 270?

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.


What is the greatest common factor of 374?

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.


What are the common factors and greatest common factor of 125?

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.


Can a greatest common factor always be found for a set of whole numbers?

yes


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

Yes.


Can you always determine the greatest common factor of any two numbers?

Yes.


What will be the greatest common factor of two distinct prime numbers?

It will always be 1.


Is the greatest common factor of 2 odd numbers always odd?

Yes.


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

Yes.


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

No.

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