Greatest Common Factor of 5928 and 5933

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, 5933 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5928 and 5933 is 1.

GCF(5928,5933) = 1

GCF of 5928 and 5933

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

GCF of:
and

Greatest Common Factor of 5928 and 5933

GCF of 5928 and 5933 is 1

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 5933


17 5933
349 349
1

Prime factors of 5933 are 17,349. Prime factorization of 5933 in exponential form is:

5933 = 171×3491

∴ So by taking common prime factors GCF of 5928 and 5933 is 1

Greatest Common Factor of 5928 and 5933 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 5933

List of positive integer factors of 5933 that divides 5933 without a remainder.

1,17,349,5933

Greatest Common Factor

We found the factors and prime factorization of 5928 and 5933. The biggest common factor number is the GCF number.
So the greatest common factor 5928 and 5933 is 1.

Also check out the Least Common Multiple of 5928 and 5933

Properties of GCF 5928 and 5933

(i) The GCF of 5928 and 5933 is associative

GCF of 5928 and 5933 = GCF of 5933 and 5928

Related Greatest Common Factor of 5928

Related Greatest Common Factor of 5933

Frequently Asked Questions on GCF of 5928 and 5933

1. What is the GCF of 5928 and 5933?

Answer: GCF of 5928 and 5933 is 1.

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 5933?

Answer: Factors of 5933 are 1, 17, 349, 5933. There are 4 integers that are factors of 5933. The greatest factor of 5933 is 5933.

4. How to Find the GCF of 5928 and 5933?

Answer:

Greatest Common Factor of 5928 and 5933 = 1

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 5933

5933 = 17 x 349

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5928 and 5933 is 1