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Subjects>Math>Basic Math

Why is the greatest common factor of two even numbers always even?

Anonymous

∙ 9y ago

Updated: 4/28/2022

Even numbers, by definition, are divisible by 2. That means that every even number has at least one 2 as a factor. If every even number has one, then any set of even numbers will have at least one 2 as a common factor. Since that number has two as a factor, it's even.

Wiki User

∙ 9y ago

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

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Continue Learning about Basic Math

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.

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.

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.

What is the least common factor of 36 and 45?

The least common factor of two numbers is always one The greatest common factor of 36 and 45 is 9

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.

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