Greatest Common Factor of 2960 and 2964

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 2960, 2964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2960 and 2964 is 4.

GCF(2960,2964) = 4

GCF of 2960 and 2964

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

GCF of:
and

Greatest Common Factor of 2960 and 2964

GCF of 2960 and 2964 is 4

Prime Factorization of 2960


2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 2960 are 2,5,37. Prime factorization of 2960 in exponential form is:

2960 = 24×51×371

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

∴ So by taking common prime factors GCF of 2960 and 2964 is 4

Greatest Common Factor of 2960 and 2964 by matching factors method

Factors of 2960

List of positive integer factors of 2960 that divides 2960 without a remainder.

1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960

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

Greatest Common Factor

We found the factors and prime factorization of 2960 and 2964. The biggest common factor number is the GCF number.
So the greatest common factor 2960 and 2964 is 4.

Also check out the Least Common Multiple of 2960 and 2964

Properties of GCF 2960 and 2964

(i) The GCF of 2960 and 2964 is associative

GCF of 2960 and 2964 = GCF of 2964 and 2960

Related Greatest Common Factor of 2960

Related Greatest Common Factor of 2964

Frequently Asked Questions on GCF of 2960 and 2964

1. What is the GCF of 2960 and 2964?

Answer: GCF of 2960 and 2964 is 4.

2. What are the Factors of 2960?

Answer: Factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960. There are 20 integers that are factors of 2960. The greatest factor of 2960 is 2960.

3. 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.

4. How to Find the GCF of 2960 and 2964?

Answer:

Greatest Common Factor of 2960 and 2964 = 4

Step 1: Find the prime factorization of 2960

2960 = 2 x 2 x 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 2964

2964 = 2 x 2 x 3 x 13 x 19

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 2960 and 2964 is 4