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 5924, 5928 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5924 and 5928 is 4.
GCF(5924,5928) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5924
2 | 5924 |
2 | 2962 |
1481 | 1481 |
1 |
Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:
5924 = 22×14811
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 5924 and 5928 is 4
Factors of 5924
List of positive integer factors of 5924 that divides 5924 without a remainder.
1,2,4,1481,2962,5924
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 5924 and 5928. The biggest common factor number is the GCF number.
So the greatest common factor 5924 and 5928 is 4.
Also check out the Least Common Multiple of 5924 and 5928
(i) The GCF of 5924 and 5928 is associative
GCF of 5924 and 5928 = GCF of 5928 and 5924
1. What is the GCF of 5924 and 5928?
Answer: GCF of 5924 and 5928 is 4.
2. What are the Factors of 5924?
Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.
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 5924 and 5928?
Answer:
Greatest Common Factor of 5924 and 5928 = 4
Step 1: Find the prime factorization of 5924
5924 = 2 x 2 x 1481
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 = 4
Step 4: Therefore, the greatest common factor of 5924 and 5928 is 4