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The greatest common factor is a factor that two or more numbers have in common. When there are three numbers, it must be a factor that all three numbers have.

Examples:

What is the greatest common factor of 6, 9, and 21?

The factors of 6 are 1, 2, 3, and 6.

The factors of 9 are 1, 3, and 9.

The factors of 21 are 1, 3, 7, and 21.

The factors that all three numbers have in common are 1 and 3, so the greatest common factor is 3.

What is the greatest common factor of 3, 7, and 15?

The factors of 3 are 1 and 3.

The factors of 7 are 1 and 7.

The factors of 15 are 1, 3, 5, and 15.

There is only one factor that all three numbers have in common - 1. Therefore, the greatest common factor is 1.

What is the greatest common factor of 12, 96, and 108?

The factors of 12 are 1, 2, 3, 4, 6, and 12.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

The factors that all three numbers have in common are 1, 2, 3, 4, 6, and 12, so the greatest common factor is 12.

The same as with two.

Example: 30, 42 and 66.

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

2 x 3 x 11 = 66

Select the common factors.

2 x 3 = 6, the GCF

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6y ago
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7y ago

The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! The greatest factor of any number is itself.

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Q: What is a greatest common factor of three numbers?
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Related questions

Name the greatest common factor of the following numbers three and 37?

The greatest common factor for the numbers 3 and 37 is 1.


What three numbers have a greatest common factor?

Any three.


What three numbers share the greatest common factor of 4?

4,8,12


What three numbers have a greatest common factor of 25?

Three numbers that have a greatest common factor of 25 are any multiples of 25 such as 25, 50, and 75. The greatest common factor of these numbers is 25 because it is the largest number that divides each of them evenly. Another set of numbers could be 125, 150, and 175, as they are also multiples of 25 with a greatest common factor of 25.


What is the greatest common factor of 123515?

There is no common factor for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more numbers. For example, 17 is the GCF of 34, 51, and 102 because it is the largest number that is a factor common to all three numbers.


What 2 numbers are the GCF of one?

The numbers three and five have the greatest common factor of one.


What is the greatest common factor of 54?

There is no common factor for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more numbers. For example, 17 is the GCF of 34, 51, and 102 because it is the largest number that is a factor common to all three numbers.


What three numbers if multiplied together the greatest common factor is 9?

3


What three numbers have a greatest common factor of thirteen?

13, 26 and 39


What are three numbers that have the greatest common factor of 9?

18, 45 & 36


What are three numbers have a greatest common factor of 18?

They can be: 18, 36 and 54


Can one be a GCF?

One can be a greatest common factor. Though it does not happen often, there are numbers that the only number that they share when factoring is one. An example of this is the numbers two and three. The greatest common factor of two and three is one.