Greatest Common Factor of 928 and 932

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, 932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 928 and 932 is 4.

GCF(928,932) = 4

GCF of 928 and 932

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

GCF of:
and

Greatest Common Factor of 928 and 932

GCF of 928 and 932 is 4

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 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

∴ So by taking common prime factors GCF of 928 and 932 is 4

Greatest Common Factor of 928 and 932 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 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors and prime factorization of 928 and 932. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 932 is 4.

Also check out the Least Common Multiple of 928 and 932

Properties of GCF 928 and 932

(i) The GCF of 928 and 932 is associative

GCF of 928 and 932 = GCF of 932 and 928

Related Greatest Common Factor of 928

Related Greatest Common Factor of 932

Frequently Asked Questions on GCF of 928 and 932

1. What is the GCF of 928 and 932?

Answer: GCF of 928 and 932 is 4.

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 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

4. How to Find the GCF of 928 and 932?

Answer:

Greatest Common Factor of 928 and 932 = 4

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 932

932 = 2 x 2 x 233

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 928 and 932 is 4