Greatest Common Factor of 2964 and 2971

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, 2971 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2964 and 2971 is 1.

GCF(2964,2971) = 1

GCF of 2964 and 2971

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

GCF of:
and

Greatest Common Factor of 2964 and 2971

GCF of 2964 and 2971 is 1

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 2971


2971 2971
1

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

∴ So by taking common prime factors GCF of 2964 and 2971 is 1

Greatest Common Factor of 2964 and 2971 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 2971

List of positive integer factors of 2971 that divides 2971 without a remainder.

1,2971

Greatest Common Factor

We found the factors and prime factorization of 2964 and 2971. The biggest common factor number is the GCF number.
So the greatest common factor 2964 and 2971 is 1.

Also check out the Least Common Multiple of 2964 and 2971

Properties of GCF 2964 and 2971

(i) The GCF of 2964 and 2971 is associative

GCF of 2964 and 2971 = GCF of 2971 and 2964

Related Greatest Common Factor of 2964

Related Greatest Common Factor of 2971

Frequently Asked Questions on GCF of 2964 and 2971

1. What is the GCF of 2964 and 2971?

Answer: GCF of 2964 and 2971 is 1.

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 2971?

Answer: Factors of 2971 are 1, 2971. There are 2 integers that are factors of 2971. The greatest factor of 2971 is 2971.

4. How to Find the GCF of 2964 and 2971?

Answer:

Greatest Common Factor of 2964 and 2971 = 1

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 2971

2971 = 2971

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 2964 and 2971 is 1