Greatest Common Factor of 2931 and 2938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2931, 2938 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2931 and 2938 is 1.

GCF(2931,2938) = 1

GCF of 2931 and 2938

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2931 and 2938

GCF of 2931 and 2938 is 1

Prime Factorization of 2931


3 2931
977 977
1

Prime factors of 2931 are 3,977. Prime factorization of 2931 in exponential form is:

2931 = 31×9771

Prime Factorization of 2938


2 2938
13 1469
113 113
1

Prime factors of 2938 are 2,13,113. Prime factorization of 2938 in exponential form is:

2938 = 21×131×1131

∴ So by taking common prime factors GCF of 2931 and 2938 is 1

Greatest Common Factor of 2931 and 2938 by matching factors method

Factors of 2931

List of positive integer factors of 2931 that divides 2931 without a remainder.

1,3,977,2931

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors and prime factorization of 2931 and 2938. The biggest common factor number is the GCF number.
So the greatest common factor 2931 and 2938 is 1.

Also check out the Least Common Multiple of 2931 and 2938

Properties of GCF 2931 and 2938

(i) The GCF of 2931 and 2938 is associative

GCF of 2931 and 2938 = GCF of 2938 and 2931

Related Greatest Common Factor of 2931

Related Greatest Common Factor of 2938

Frequently Asked Questions on GCF of 2931 and 2938

1. What is the GCF of 2931 and 2938?

Answer: GCF of 2931 and 2938 is 1.

2. What are the Factors of 2931?

Answer: Factors of 2931 are 1, 3, 977, 2931. There are 4 integers that are factors of 2931. The greatest factor of 2931 is 2931.

3. What are the Factors of 2938?

Answer: Factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938. There are 8 integers that are factors of 2938. The greatest factor of 2938 is 2938.

4. How to Find the GCF of 2931 and 2938?

Answer:

Greatest Common Factor of 2931 and 2938 = 1

Step 1: Find the prime factorization of 2931

2931 = 3 x 977

Step 2: Find the prime factorization of 2938

2938 = 2 x 13 x 113

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2931 and 2938 is 1