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 5952, 5958 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5952 and 5958 is 6.
GCF(5952,5958) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5952
2 | 5952 |
2 | 2976 |
2 | 1488 |
2 | 744 |
2 | 372 |
2 | 186 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 5952 are 2,3,31. Prime factorization of 5952 in exponential form is:
5952 = 26×31×311
Prime Factorization of 5958
2 | 5958 |
3 | 2979 |
3 | 993 |
331 | 331 |
1 |
Prime factors of 5958 are 2,3,331. Prime factorization of 5958 in exponential form is:
5958 = 21×32×3311
∴ So by taking common prime factors GCF of 5952 and 5958 is 6
Factors of 5952
List of positive integer factors of 5952 that divides 5952 without a remainder.
1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Factors of 5958
List of positive integer factors of 5958 that divides 5958 without a remainder.
1,2,3,6,9,18,331,662,993,1986,2979,5958
Greatest Common Factor
We found the factors and prime factorization of 5952 and 5958. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5958 is 6.
Also check out the Least Common Multiple of 5952 and 5958
(i) The GCF of 5952 and 5958 is associative
GCF of 5952 and 5958 = GCF of 5958 and 5952
1. What is the GCF of 5952 and 5958?
Answer: GCF of 5952 and 5958 is 6.
2. What are the Factors of 5952?
Answer: Factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952. There are 28 integers that are factors of 5952. The greatest factor of 5952 is 5952.
3. What are the Factors of 5958?
Answer: Factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. There are 12 integers that are factors of 5958. The greatest factor of 5958 is 5958.
4. How to Find the GCF of 5952 and 5958?
Answer:
Greatest Common Factor of 5952 and 5958 = 6
Step 1: Find the prime factorization of 5952
5952 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31
Step 2: Find the prime factorization of 5958
5958 = 2 x 3 x 3 x 331
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 5952 and 5958 is 6