Greatest Common Factor of 931 and 938

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, 938 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 931 and 938 is 7.

GCF(931,938) = 7

GCF of 931 and 938

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

GCF of:
and

Greatest Common Factor of 931 and 938

GCF of 931 and 938 is 7

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 938


2 938
7 469
67 67
1

Prime factors of 938 are 2,7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

∴ So by taking common prime factors GCF of 931 and 938 is 7

Greatest Common Factor of 931 and 938 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 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors and prime factorization of 931 and 938. The biggest common factor number is the GCF number.
So the greatest common factor 931 and 938 is 7.

Also check out the Least Common Multiple of 931 and 938

Properties of GCF 931 and 938

(i) The GCF of 931 and 938 is associative

GCF of 931 and 938 = GCF of 938 and 931

Related Greatest Common Factor of 931

Related Greatest Common Factor of 938

Frequently Asked Questions on GCF of 931 and 938

1. What is the GCF of 931 and 938?

Answer: GCF of 931 and 938 is 7.

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 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

4. How to Find the GCF of 931 and 938?

Answer:

Greatest Common Factor of 931 and 938 = 7

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 938

938 = 2 x 7 x 67

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

GCF = 7

Step 4: Therefore, the greatest common factor of 931 and 938 is 7