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The greatest common factor of 74 and 111 is 37.

The common factors of 74 and 111 are 1 and 37.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 74 are 1, 2, 37, and 74.

The factors of 111 are 1, 3, 37, and 111.

The common factors are 1 and 37. Therefore, the greatest common factor is 37.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 74 are 2 and 37.

The prime factors of 111 are 3 and 37.

The prime factors in common are a single 37, so the greatest common factor is 37.
The GCF is: 37

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Q: What is the greatest common factor of 111 and 74?
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Related questions

Greatest common factor 111 and 74?

gcf(111, 74) = 37 111 = 3 x 37 74 = 2 x 37 gcf = 37


What is the greatest common factor of 74?

There is not a greatest common factor of a single number, such as 74, because there cannot be a greatest 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.The factors of 74 are 1, 2, 37, and 74.Examples:The common factors of 16 and 74 are 1 and 2; the greatest common factor is 2.The common factors of 29 and 74 are only 1; the greatest common factor is 1.The common factors of 74 and 111 are 1 and 37; the greatest common factor is 37.


Is 37 a common factor?

It can be. 37 is a common factor of 74 and 111.


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What is the greatest common factor of 37 and 74?

The greatest common factor (GCF) of 37 and 74 is 37.


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