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Because every set of whole numbers has a GCF.

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โˆ™ 2015-08-18 20:57:50
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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.


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 odd numbers will always odd?

Yes.


Is the Greatest common factor of odd numbers always odd?

Yes.


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.


How do you find the greatest common factor of two prime numbers?

The greatest common factor of two distinct primes is always 1.


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 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 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.


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

No.


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 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.


What is the greatest factor shared by 2 numbers?

That's the greatest common factor, or GCF.


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 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.


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 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 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.