Greatest Common Factor of 5920 and 5928

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 5920, 5928 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5920 and 5928 is 8.

GCF(5920,5928) = 8

GCF of 5920 and 5928

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

GCF of:
and

Greatest Common Factor of 5920 and 5928

GCF of 5920 and 5928 is 8

Prime Factorization of 5920


2 5920
2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 5920 are 2,5,37. Prime factorization of 5920 in exponential form is:

5920 = 25×51×371

Prime Factorization of 5928


2 5928
2 2964
2 1482
3 741
13 247
19 19
1

Prime factors of 5928 are 2,3,13,19. Prime factorization of 5928 in exponential form is:

5928 = 23×31×131×191

∴ So by taking common prime factors GCF of 5920 and 5928 is 8

Greatest Common Factor of 5920 and 5928 by matching factors method

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920

Factors of 5928

List of positive integer factors of 5928 that divides 5928 without a remainder.

1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928

Greatest Common Factor

We found the factors and prime factorization of 5920 and 5928. The biggest common factor number is the GCF number.
So the greatest common factor 5920 and 5928 is 8.

Also check out the Least Common Multiple of 5920 and 5928

Properties of GCF 5920 and 5928

(i) The GCF of 5920 and 5928 is associative

GCF of 5920 and 5928 = GCF of 5928 and 5920

Related Greatest Common Factor of 5920

Related Greatest Common Factor of 5928

Frequently Asked Questions on GCF of 5920 and 5928

1. What is the GCF of 5920 and 5928?

Answer: GCF of 5920 and 5928 is 8.

2. What are the Factors of 5920?

Answer: Factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. There are 24 integers that are factors of 5920. The greatest factor of 5920 is 5920.

3. What are the Factors of 5928?

Answer: Factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928. There are 32 integers that are factors of 5928. The greatest factor of 5928 is 5928.

4. How to Find the GCF of 5920 and 5928?

Answer:

Greatest Common Factor of 5920 and 5928 = 8

Step 1: Find the prime factorization of 5920

5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 5928

5928 = 2 x 2 x 2 x 3 x 13 x 19

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 5920 and 5928 is 8