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, 5959 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5952 and 5959 is 1.
GCF(5952,5959) = 1
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 5959
59 | 5959 |
101 | 101 |
1 |
Prime factors of 5959 are 59,101. Prime factorization of 5959 in exponential form is:
5959 = 591×1011
∴ So by taking common prime factors GCF of 5952 and 5959 is 1
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 5959
List of positive integer factors of 5959 that divides 5959 without a remainder.
1,59,101,5959
Greatest Common Factor
We found the factors and prime factorization of 5952 and 5959. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5959 is 1.
Also check out the Least Common Multiple of 5952 and 5959
(i) The GCF of 5952 and 5959 is associative
GCF of 5952 and 5959 = GCF of 5959 and 5952
1. What is the GCF of 5952 and 5959?
Answer: GCF of 5952 and 5959 is 1.
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 5959?
Answer: Factors of 5959 are 1, 59, 101, 5959. There are 4 integers that are factors of 5959. The greatest factor of 5959 is 5959.
4. How to Find the GCF of 5952 and 5959?
Answer:
Greatest Common Factor of 5952 and 5959 = 1
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 5959
5959 = 59 x 101
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 5952 and 5959 is 1