Greatest Common Factor of 5952 and 5960

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, 5960 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5952 and 5960 is 8.

GCF(5952,5960) = 8

GCF of 5952 and 5960

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

GCF of:
and

Greatest Common Factor of 5952 and 5960

GCF of 5952 and 5960 is 8

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 5960


2 5960
2 2980
2 1490
5 745
149 149
1

Prime factors of 5960 are 2,5,149. Prime factorization of 5960 in exponential form is:

5960 = 23×51×1491

∴ So by taking common prime factors GCF of 5952 and 5960 is 8

Greatest Common Factor of 5952 and 5960 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 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960

Greatest Common Factor

We found the factors and prime factorization of 5952 and 5960. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5960 is 8.

Also check out the Least Common Multiple of 5952 and 5960

Properties of GCF 5952 and 5960

(i) The GCF of 5952 and 5960 is associative

GCF of 5952 and 5960 = GCF of 5960 and 5952

Related Greatest Common Factor of 5952

Related Greatest Common Factor of 5960

Frequently Asked Questions on GCF of 5952 and 5960

1. What is the GCF of 5952 and 5960?

Answer: GCF of 5952 and 5960 is 8.

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 5960?

Answer: Factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960. There are 16 integers that are factors of 5960. The greatest factor of 5960 is 5960.

4. How to Find the GCF of 5952 and 5960?

Answer:

Greatest Common Factor of 5952 and 5960 = 8

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 5960

5960 = 2 x 2 x 2 x 5 x 149

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5952 and 5960 is 8