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

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Q: Why does the listing method always works to find the greatest common factor?
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Related questions

Why is there no Least Common factor if there is Greatest Common Factor?

The least common factor is always one (1), regardless of what the greatest common factor is.


What is the greatest common factor of 18 and 20 using listing method?

It is: 2


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.


How is the greatest common factor different from the least common factor?

In the list of common factors, the greatest is the largest, the least is the smallest (which is always 1)


How do you find the greatest common factor when there are no common factors?

There is always a common factor. If there are no common prime factors, the GCF is 1.


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


How do you factor completely when there is no greatest common factor?

there always is one-every # has the factor 1 hint:)


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.


When you factor out the greatest common factor if it is negative and the others are not?

The GCF will always be a positive number.


What do you do in greatest common factor when there aren't any pairs?

There is always a common factor, even if it's only 1.


Will the greatest common factor of an odd and even number always be even?

No, always odd.


How does greatest common factor and least common factor used in math?

The GCF is used to simplify fractions. The LCF is practically useless, since it is always 1.