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# What is the greatest common factor of 39 and 42?

Updated: 4/28/2022 Wiki User

8y ago

The common factors of 39 and 42 are 1 and 3.

The greatest common factor of 39 and 42 is 3.

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 39 are 1, 3, 13, and 39.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

The common factors are 1 and 3. Therefore, the greatest common factor is 3.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. To then obtain the common factors, list all the factors of the greatest common factor.

The prime factors of 39 are 3 and 13.

The prime factors of 42 are 2, 3, and 7.

The only prime factor in common is 3, so the greatest common factor is 3. The factors of 3 are 1 and 3, which are the common factors. Wiki User

8y ago   Wiki User

8y ago

The GCF is 3.   Wiki User

13y ago

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Q: What is the greatest common factor of 39 and 42?
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### What 16 and 42 greatest common factor?

The greatest common factor of 16 and 42 is 2.

### What is the greatest common factor of 3 and 42?

Since 3 is a factor of 42, it is automatically the GCF.