Greatest Common Factor of 2976 and 2979

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 2976, 2979 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2976 and 2979 is 3.

GCF(2976,2979) = 3

GCF of 2976 and 2979

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

GCF of:
and

Greatest Common Factor of 2976 and 2979

GCF of 2976 and 2979 is 3

Prime Factorization of 2976


2 2976
2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 2976 are 2,3,31. Prime factorization of 2976 in exponential form is:

2976 = 25×31×311

Prime Factorization of 2979


3 2979
3 993
331 331
1

Prime factors of 2979 are 3,331. Prime factorization of 2979 in exponential form is:

2979 = 32×3311

∴ So by taking common prime factors GCF of 2976 and 2979 is 3

Greatest Common Factor of 2976 and 2979 by matching factors method

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Factors of 2979

List of positive integer factors of 2979 that divides 2979 without a remainder.

1,3,9,331,993,2979

Greatest Common Factor

We found the factors and prime factorization of 2976 and 2979. The biggest common factor number is the GCF number.
So the greatest common factor 2976 and 2979 is 3.

Also check out the Least Common Multiple of 2976 and 2979

Properties of GCF 2976 and 2979

(i) The GCF of 2976 and 2979 is associative

GCF of 2976 and 2979 = GCF of 2979 and 2976

Related Greatest Common Factor of 2976

Related Greatest Common Factor of 2979

Frequently Asked Questions on GCF of 2976 and 2979

1. What is the GCF of 2976 and 2979?

Answer: GCF of 2976 and 2979 is 3.

2. What are the Factors of 2976?

Answer: Factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976. There are 24 integers that are factors of 2976. The greatest factor of 2976 is 2976.

3. What are the Factors of 2979?

Answer: Factors of 2979 are 1, 3, 9, 331, 993, 2979. There are 6 integers that are factors of 2979. The greatest factor of 2979 is 2979.

4. How to Find the GCF of 2976 and 2979?

Answer:

Greatest Common Factor of 2976 and 2979 = 3

Step 1: Find the prime factorization of 2976

2976 = 2 x 2 x 2 x 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 2979

2979 = 3 x 3 x 331

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 2976 and 2979 is 3