Greatest Common Factor of 2964 and 2972

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 2964, 2972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2964 and 2972 is 4.

GCF(2964,2972) = 4

GCF of 2964 and 2972

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

GCF of:
and

Greatest Common Factor of 2964 and 2972

GCF of 2964 and 2972 is 4

Prime Factorization of 2964


2 2964
2 1482
3 741
13 247
19 19
1

Prime factors of 2964 are 2,3,13,19. Prime factorization of 2964 in exponential form is:

2964 = 22×31×131×191

Prime Factorization of 2972


2 2972
2 1486
743 743
1

Prime factors of 2972 are 2,743. Prime factorization of 2972 in exponential form is:

2972 = 22×7431

∴ So by taking common prime factors GCF of 2964 and 2972 is 4

Greatest Common Factor of 2964 and 2972 by matching factors method

Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1,2,4,743,1486,2972

Greatest Common Factor

We found the factors and prime factorization of 2964 and 2972. The biggest common factor number is the GCF number.
So the greatest common factor 2964 and 2972 is 4.

Also check out the Least Common Multiple of 2964 and 2972

Properties of GCF 2964 and 2972

(i) The GCF of 2964 and 2972 is associative

GCF of 2964 and 2972 = GCF of 2972 and 2964

Related Greatest Common Factor of 2964

Related Greatest Common Factor of 2972

Frequently Asked Questions on GCF of 2964 and 2972

1. What is the GCF of 2964 and 2972?

Answer: GCF of 2964 and 2972 is 4.

2. What are the Factors of 2964?

Answer: Factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964. There are 24 integers that are factors of 2964. The greatest factor of 2964 is 2964.

3. What are the Factors of 2972?

Answer: Factors of 2972 are 1, 2, 4, 743, 1486, 2972. There are 6 integers that are factors of 2972. The greatest factor of 2972 is 2972.

4. How to Find the GCF of 2964 and 2972?

Answer:

Greatest Common Factor of 2964 and 2972 = 4

Step 1: Find the prime factorization of 2964

2964 = 2 x 2 x 3 x 13 x 19

Step 2: Find the prime factorization of 2972

2972 = 2 x 2 x 743

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 2964 and 2972 is 4