Greatest Common Factor of 5964 and 5971

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 5964, 5971 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5964 and 5971 is 7.

GCF(5964,5971) = 7

GCF of 5964 and 5971

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

GCF of:
and

Greatest Common Factor of 5964 and 5971

GCF of 5964 and 5971 is 7

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

Prime Factorization of 5971


7 5971
853 853
1

Prime factors of 5971 are 7,853. Prime factorization of 5971 in exponential form is:

5971 = 71×8531

∴ So by taking common prime factors GCF of 5964 and 5971 is 7

Greatest Common Factor of 5964 and 5971 by matching factors method

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

Factors of 5971

List of positive integer factors of 5971 that divides 5971 without a remainder.

1,7,853,5971

Greatest Common Factor

We found the factors and prime factorization of 5964 and 5971. The biggest common factor number is the GCF number.
So the greatest common factor 5964 and 5971 is 7.

Also check out the Least Common Multiple of 5964 and 5971

Properties of GCF 5964 and 5971

(i) The GCF of 5964 and 5971 is associative

GCF of 5964 and 5971 = GCF of 5971 and 5964

Related Greatest Common Factor of 5964

Related Greatest Common Factor of 5971

Frequently Asked Questions on GCF of 5964 and 5971

1. What is the GCF of 5964 and 5971?

Answer: GCF of 5964 and 5971 is 7.

2. 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.

3. What are the Factors of 5971?

Answer: Factors of 5971 are 1, 7, 853, 5971. There are 4 integers that are factors of 5971. The greatest factor of 5971 is 5971.

4. How to Find the GCF of 5964 and 5971?

Answer:

Greatest Common Factor of 5964 and 5971 = 7

Step 1: Find the prime factorization of 5964

5964 = 2 x 2 x 3 x 7 x 71

Step 2: Find the prime factorization of 5971

5971 = 7 x 853

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5964 and 5971 is 7