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Because every set of whole numbers has a GCF.

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Q: Why can a greatest common factor always be found for a set of whole numbers?
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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 numbers is equal to Lester of the numbers always?

No.


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.


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.


Is the greatest common factor odd numbers will always odd?

Yes.


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.


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

Of course not. In fact, the greatest common factor of two odd numbers is never 2.-- 2 is never a factor of any odd number.-- The greatest common factor of the odd numbers 651 and 1,085 is 217.


The greatest factor that two or more numbers have common is the greatest common factor or what?

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


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.


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

Yes.


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

It will always be 1.