Greatest Common Factor of 2959 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 2959, 2964 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2959 and 2964 is 1.

GCF(2959,2964) = 1

GCF of 2959 and 2964

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

GCF of:
and

Greatest Common Factor of 2959 and 2964

GCF of 2959 and 2964 is 1

Prime Factorization of 2959


11 2959
269 269
1

Prime factors of 2959 are 11,269. Prime factorization of 2959 in exponential form is:

2959 = 111×2691

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 2959 and 2964 is 1

Greatest Common Factor of 2959 and 2964 by matching factors method

Factors of 2959

List of positive integer factors of 2959 that divides 2959 without a remainder.

1,11,269,2959

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 2959 and 2964. The biggest common factor number is the GCF number.
So the greatest common factor 2959 and 2964 is 1.

Also check out the Least Common Multiple of 2959 and 2964

Properties of GCF 2959 and 2964

(i) The GCF of 2959 and 2964 is associative

GCF of 2959 and 2964 = GCF of 2964 and 2959

Related Greatest Common Factor of 2959

Related Greatest Common Factor of 2964

Frequently Asked Questions on GCF of 2959 and 2964

1. What is the GCF of 2959 and 2964?

Answer: GCF of 2959 and 2964 is 1.

2. What are the Factors of 2959?

Answer: Factors of 2959 are 1, 11, 269, 2959. There are 4 integers that are factors of 2959. The greatest factor of 2959 is 2959.

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 2959 and 2964?

Answer:

Greatest Common Factor of 2959 and 2964 = 1

Step 1: Find the prime factorization of 2959

2959 = 11 x 269

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 = = 1

Step 4: Therefore, the greatest common factor of 2959 and 2964 is 1