Greatest Common Factor of 924 and 931

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 924, 931 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 924 and 931 is 7.

GCF(924,931) = 7

GCF of 924 and 931

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

GCF of:
and

Greatest Common Factor of 924 and 931

GCF of 924 and 931 is 7

Prime Factorization of 924


2 924
2 462
3 231
7 77
11 11
1

Prime factors of 924 are 2,3,7,11. Prime factorization of 924 in exponential form is:

924 = 22×31×71×111

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

∴ So by taking common prime factors GCF of 924 and 931 is 7

Greatest Common Factor of 924 and 931 by matching factors method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 931

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

1,7,19,49,133,931

Greatest Common Factor

We found the factors and prime factorization of 924 and 931. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 931 is 7.

Also check out the Least Common Multiple of 924 and 931

Properties of GCF 924 and 931

(i) The GCF of 924 and 931 is associative

GCF of 924 and 931 = GCF of 931 and 924

Related Greatest Common Factor of 924

Related Greatest Common Factor of 931

Frequently Asked Questions on GCF of 924 and 931

1. What is the GCF of 924 and 931?

Answer: GCF of 924 and 931 is 7.

2. What are the Factors of 924?

Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.

3. 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.

4. How to Find the GCF of 924 and 931?

Answer:

Greatest Common Factor of 924 and 931 = 7

Step 1: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 931

931 = 7 x 7 x 19

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 924 and 931 is 7