Greatest Common Factor of 5928 and 5934

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 5928, 5934 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5928 and 5934 is 6.

GCF(5928,5934) = 6

GCF of 5928 and 5934

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

GCF of:
and

Greatest Common Factor of 5928 and 5934

GCF of 5928 and 5934 is 6

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

Prime Factorization of 5934


2 5934
3 2967
23 989
43 43
1

Prime factors of 5934 are 2,3,23,43. Prime factorization of 5934 in exponential form is:

5934 = 21×31×231×431

∴ So by taking common prime factors GCF of 5928 and 5934 is 6

Greatest Common Factor of 5928 and 5934 by matching factors method

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

Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934

Greatest Common Factor

We found the factors and prime factorization of 5928 and 5934. The biggest common factor number is the GCF number.
So the greatest common factor 5928 and 5934 is 6.

Also check out the Least Common Multiple of 5928 and 5934

Properties of GCF 5928 and 5934

(i) The GCF of 5928 and 5934 is associative

GCF of 5928 and 5934 = GCF of 5934 and 5928

Related Greatest Common Factor of 5928

Related Greatest Common Factor of 5934

Frequently Asked Questions on GCF of 5928 and 5934

1. What is the GCF of 5928 and 5934?

Answer: GCF of 5928 and 5934 is 6.

2. 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.

3. What are the Factors of 5934?

Answer: Factors of 5934 are 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934. There are 16 integers that are factors of 5934. The greatest factor of 5934 is 5934.

4. How to Find the GCF of 5928 and 5934?

Answer:

Greatest Common Factor of 5928 and 5934 = 6

Step 1: Find the prime factorization of 5928

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

Step 2: Find the prime factorization of 5934

5934 = 2 x 3 x 23 x 43

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5928 and 5934 is 6