Greatest Common Factor of 931 and 937

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 931, 937 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 931 and 937 is 1.

GCF(931,937) = 1

GCF of 931 and 937

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

GCF of:
and

Greatest Common Factor of 931 and 937

GCF of 931 and 937 is 1

Prime Factorization of 931


7 931
7 133
19 19
1

Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:

931 = 72×191

Prime Factorization of 937


937 937
1

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

∴ So by taking common prime factors GCF of 931 and 937 is 1

Greatest Common Factor of 931 and 937 by matching factors method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors and prime factorization of 931 and 937. The biggest common factor number is the GCF number.
So the greatest common factor 931 and 937 is 1.

Also check out the Least Common Multiple of 931 and 937

Properties of GCF 931 and 937

(i) The GCF of 931 and 937 is associative

GCF of 931 and 937 = GCF of 937 and 931

Frequently Asked Questions on GCF of 931 and 937

1. What is the GCF of 931 and 937?

Answer: GCF of 931 and 937 is 1.

2. What are the Factors of 931?

Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.

3. What are the Factors of 937?

Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.

4. How to Find the GCF of 931 and 937?

Answer:

Greatest Common Factor of 931 and 937 = 1

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 937

937 = 937

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 931 and 937 is 1