Greatest Common Factor of 920 and 928

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 920, 928 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 920 and 928 is 8.

GCF(920,928) = 8

GCF of 920 and 928

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

GCF of:
and

Greatest Common Factor of 920 and 928

GCF of 920 and 928 is 8

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2,5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

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

∴ So by taking common prime factors GCF of 920 and 928 is 8

Greatest Common Factor of 920 and 928 by matching factors method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

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

Greatest Common Factor

We found the factors and prime factorization of 920 and 928. The biggest common factor number is the GCF number.
So the greatest common factor 920 and 928 is 8.

Also check out the Least Common Multiple of 920 and 928

Properties of GCF 920 and 928

(i) The GCF of 920 and 928 is associative

GCF of 920 and 928 = GCF of 928 and 920

Related Greatest Common Factor of 920

Related Greatest Common Factor of 928

Frequently Asked Questions on GCF of 920 and 928

1. What is the GCF of 920 and 928?

Answer: GCF of 920 and 928 is 8.

2. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

3. 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.

4. How to Find the GCF of 920 and 928?

Answer:

Greatest Common Factor of 920 and 928 = 8

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 928

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 920 and 928 is 8