Greatest Common Factor of 5960 and 5964

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 5960, 5964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5960 and 5964 is 4.

GCF(5960,5964) = 4

GCF of 5960 and 5964

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

GCF of:
and

Greatest Common Factor of 5960 and 5964

GCF of 5960 and 5964 is 4

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

Prime Factorization of 5964


2 5964
2 2982
3 1491
7 497
71 71
1

Prime factors of 5964 are 2,3,7,71. Prime factorization of 5964 in exponential form is:

5964 = 22×31×71×711

∴ So by taking common prime factors GCF of 5960 and 5964 is 4

Greatest Common Factor of 5960 and 5964 by matching factors method

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

Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964

Greatest Common Factor

We found the factors and prime factorization of 5960 and 5964. The biggest common factor number is the GCF number.
So the greatest common factor 5960 and 5964 is 4.

Also check out the Least Common Multiple of 5960 and 5964

Properties of GCF 5960 and 5964

(i) The GCF of 5960 and 5964 is associative

GCF of 5960 and 5964 = GCF of 5964 and 5960

Related Greatest Common Factor of 5960

Related Greatest Common Factor of 5964

Frequently Asked Questions on GCF of 5960 and 5964

1. What is the GCF of 5960 and 5964?

Answer: GCF of 5960 and 5964 is 4.

2. 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.

3. What are the Factors of 5964?

Answer: Factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964. There are 24 integers that are factors of 5964. The greatest factor of 5964 is 5964.

4. How to Find the GCF of 5960 and 5964?

Answer:

Greatest Common Factor of 5960 and 5964 = 4

Step 1: Find the prime factorization of 5960

5960 = 2 x 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 5964

5964 = 2 x 2 x 3 x 7 x 71

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 5960 and 5964 is 4