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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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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 2 numbers are the GCF of one?
The numbers three and five have the greatest common factor of one.
What are the common factors and greatest common factor of 850?
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 is the greatest common factor of 27?
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 is the greatest common factor of 88?
There is no gcf 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.
