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The greatest common factor (GCF) of two (or more) numbers is the greatest factor that divides two numbers. To find the GCF you must work out and list the prime factors of each of the numbers. You will see that the numbers have prime factors in common. Multiply those factors the numbers have in common together and this gives you the GCF for the numbers.

eg Number A = 18, Prime factors = 2*3*3

Number B = 24, Prime factors = 2*2*2*3

The Prime factors that A and B have in common are 2 and 3

Multiply them together = 6

6= the GCF of 18 and 24

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That's called the greatest common factor, or GCF.

That's the greatest common factor, or GCF.

That's the greatest common factor, or GCF.

That is called the "greatest common factor" or the "greatest common divisor".

It is their greatest common factor.

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That's the greatest common factor, or GCF.

That's the greatest common factor, or GCF.

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.

A common factor of several numbers is a number that can divide evenly into each one of them. '10' is a common factor of 20 and 30. '5' is a common factor of 10 and 15. '3' is a common factor of 6, 9, and 12. '2' is a common factor of all even numbers. '1' is a common factor of all whole numbers.

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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That's the greatest common factor, or GCF.

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.

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.

That's known as the greatest common factor, or GCF.