Greatest Common Factor of 2958 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 2958, 2964 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2958 and 2964 is 6.

GCF(2958,2964) = 6

GCF of 2958 and 2964

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

GCF of:
and

Greatest Common Factor of 2958 and 2964

GCF of 2958 and 2964 is 6

Prime Factorization of 2958


2 2958
3 1479
17 493
29 29
1

Prime factors of 2958 are 2,3,17,29. Prime factorization of 2958 in exponential form is:

2958 = 21×31×171×291

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 2958 and 2964 is 6

Greatest Common Factor of 2958 and 2964 by matching factors method

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

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 2958 and 2964. The biggest common factor number is the GCF number.
So the greatest common factor 2958 and 2964 is 6.

Also check out the Least Common Multiple of 2958 and 2964

Properties of GCF 2958 and 2964

(i) The GCF of 2958 and 2964 is associative

GCF of 2958 and 2964 = GCF of 2964 and 2958

Related Greatest Common Factor of 2958

Related Greatest Common Factor of 2964

Frequently Asked Questions on GCF of 2958 and 2964

1. What is the GCF of 2958 and 2964?

Answer: GCF of 2958 and 2964 is 6.

2. What are the Factors of 2958?

Answer: Factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958. There are 16 integers that are factors of 2958. The greatest factor of 2958 is 2958.

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 2958 and 2964?

Answer:

Greatest Common Factor of 2958 and 2964 = 6

Step 1: Find the prime factorization of 2958

2958 = 2 x 3 x 17 x 29

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 3 = 6

Step 4: Therefore, the greatest common factor of 2958 and 2964 is 6