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Every natural number has factors. A factor is any number that will evenly (or wholly) divide the first number leaving no "remainder".

So 5 is a factor of 10, because 10 divided by 5 is exactly 2 with nothing left over.

A "common factor" is any factor that two or more numbers share in common.

So 8 and 12 have a common factor of 4, that is, they both have 4 as a factor.

The numbers, 24, 18, 15, and 21 possess a common factor of 3.

The "greatest common factor" is the largest such factor that two numbers share in common.

For example: given the two numbers 12 and 6, which have common factors of 1, 2, 3, 4 and 6, the greatest (or 'highest') common factor is 6.

NOTE: A single number in itself cannot have a "common" factor, even though, as stated, it has factors of itself.

The term "common" means that more than one number must be involved so that a comparison of factors can be made between the numbers to see what factor is common to all/both.

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13y ago
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8y ago

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.

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Q: What is the greatest of the common factors of 2 or more numbers?
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Common factors and greatest common factors?

they are closely related, but GCF (greatest common factor) is the largest common factor between two or more numbers.


What are the common factors and greatest common factor of 3654?

There is neither a greatest common factor nor common factors of a single number, such as 3654, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 1734?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 1734, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What is the greatest common factor of 2060?

There is neither a greatest common factor nor common factors of a single number, such as 2060, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What is the greatest common factor of 39?

There is neither a greatest common factor nor common factors of a single number, such as 39, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.

Related questions

What is the term for the greatest of the common factors of two or more numbers?

The greatest of the common factors of two or more numbers is the GCF


Is great of common factors or more numbers called?

The greatest of common factors of two or more numbers is called the greatest common factor, or GCF.


Common factors and greatest common factors?

they are closely related, but GCF (greatest common factor) is the largest common factor between two or more numbers.


What has the greatest of the common factors of two or more numbers is called?

The greatest common factor, or GCF.


What are the the greatest common factors of 9?

It is meaningless to ask "What are the greatest common factor of 9". There should be two or more numbers. Greatest common factor means the greatest number which is the common factor of all the numbers mentioned.


What are the common factors and greatest common factor of 128?

There is neither a greatest common factor nor common factors of a single number, such as 128, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 108?

There is neither a greatest common factor nor common factors of a single number, such as 108, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 98?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 98, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 1652?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 1652, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 6601155?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 6,601,155, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 51?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 51, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


What are the common factors and greatest common factor of 182?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 182, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.