Greatest Common Factor of 928 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 928, 931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 928 and 931 is 1.

GCF(928,931) = 1

GCF of 928 and 931

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

GCF of:
and

Greatest Common Factor of 928 and 931

GCF of 928 and 931 is 1

Prime Factorization of 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

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 928 and 931 is 1

Greatest Common Factor of 928 and 931 by matching factors method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

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 928 and 931. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 931 is 1.

Also check out the Least Common Multiple of 928 and 931

Properties of GCF 928 and 931

(i) The GCF of 928 and 931 is associative

GCF of 928 and 931 = GCF of 931 and 928

Related Greatest Common Factor of 928

Related Greatest Common Factor of 931

Frequently Asked Questions on GCF of 928 and 931

1. What is the GCF of 928 and 931?

Answer: GCF of 928 and 931 is 1.

2. What are the Factors of 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

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 928 and 931?

Answer:

Greatest Common Factor of 928 and 931 = 1

Step 1: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

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 = = 1

Step 4: Therefore, the greatest common factor of 928 and 931 is 1