Greatest Common Factor of 2970 and 2976

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 2970, 2976 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2970 and 2976 is 6.

GCF(2970,2976) = 6

GCF of 2970 and 2976

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

GCF of:
and

Greatest Common Factor of 2970 and 2976

GCF of 2970 and 2976 is 6

Prime Factorization of 2970


2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 2970 are 2,3,5,11. Prime factorization of 2970 in exponential form is:

2970 = 21×33×51×111

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

∴ So by taking common prime factors GCF of 2970 and 2976 is 6

Greatest Common Factor of 2970 and 2976 by matching factors method

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

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

Greatest Common Factor

We found the factors and prime factorization of 2970 and 2976. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2976 is 6.

Also check out the Least Common Multiple of 2970 and 2976

Properties of GCF 2970 and 2976

(i) The GCF of 2970 and 2976 is associative

GCF of 2970 and 2976 = GCF of 2976 and 2970

Related Greatest Common Factor of 2970

Related Greatest Common Factor of 2976

Frequently Asked Questions on GCF of 2970 and 2976

1. What is the GCF of 2970 and 2976?

Answer: GCF of 2970 and 2976 is 6.

2. What are the Factors of 2970?

Answer: Factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. There are 32 integers that are factors of 2970. The greatest factor of 2970 is 2970.

3. 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.

4. How to Find the GCF of 2970 and 2976?

Answer:

Greatest Common Factor of 2970 and 2976 = 6

Step 1: Find the prime factorization of 2970

2970 = 2 x 3 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 2976

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

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 2970 and 2976 is 6