Greatest Common Factor of 928 and 936

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

Greatest common factor (GCF) of 928 and 936 is 8.

GCF(928,936) = 8

GCF of 928 and 936

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

GCF of:
and

Greatest Common Factor of 928 and 936

GCF of 928 and 936 is 8

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 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2,3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

∴ So by taking common prime factors GCF of 928 and 936 is 8

Greatest Common Factor of 928 and 936 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 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors and prime factorization of 928 and 936. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 936 is 8.

Also check out the Least Common Multiple of 928 and 936

Properties of GCF 928 and 936

(i) The GCF of 928 and 936 is associative

GCF of 928 and 936 = GCF of 936 and 928

Related Greatest Common Factor of 928

Related Greatest Common Factor of 936

Frequently Asked Questions on GCF of 928 and 936

1. What is the GCF of 928 and 936?

Answer: GCF of 928 and 936 is 8.

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 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

4. How to Find the GCF of 928 and 936?

Answer:

Greatest Common Factor of 928 and 936 = 8

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 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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 928 and 936 is 8