Greatest Common Factor of 5952 and 5956

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, 5956 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5952 and 5956 is 4.

GCF(5952,5956) = 4

GCF of 5952 and 5956

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

GCF of:
and

Greatest Common Factor of 5952 and 5956

GCF of 5952 and 5956 is 4

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 5956


2 5956
2 2978
1489 1489
1

Prime factors of 5956 are 2,1489. Prime factorization of 5956 in exponential form is:

5956 = 22×14891

∴ So by taking common prime factors GCF of 5952 and 5956 is 4

Greatest Common Factor of 5952 and 5956 by matching factors method

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 5956

List of positive integer factors of 5956 that divides 5956 without a remainder.

1,2,4,1489,2978,5956

Greatest Common Factor

We found the factors and prime factorization of 5952 and 5956. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5956 is 4.

Also check out the Least Common Multiple of 5952 and 5956

Properties of GCF 5952 and 5956

(i) The GCF of 5952 and 5956 is associative

GCF of 5952 and 5956 = GCF of 5956 and 5952

Related Greatest Common Factor of 5952

Related Greatest Common Factor of 5956

Frequently Asked Questions on GCF of 5952 and 5956

1. What is the GCF of 5952 and 5956?

Answer: GCF of 5952 and 5956 is 4.

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 5956?

Answer: Factors of 5956 are 1, 2, 4, 1489, 2978, 5956. There are 6 integers that are factors of 5956. The greatest factor of 5956 is 5956.

4. How to Find the GCF of 5952 and 5956?

Answer:

Greatest Common Factor of 5952 and 5956 = 4

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 5956

5956 = 2 x 2 x 1489

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 5952 and 5956 is 4