Greatest Common Factor of 2970 and 2975

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, 2975 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2970 and 2975 is 5.

GCF(2970,2975) = 5

GCF of 2970 and 2975

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

GCF of:
and

Greatest Common Factor of 2970 and 2975

GCF of 2970 and 2975 is 5

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 2975


5 2975
5 595
7 119
17 17
1

Prime factors of 2975 are 5,7,17. Prime factorization of 2975 in exponential form is:

2975 = 52×71×171

∴ So by taking common prime factors GCF of 2970 and 2975 is 5

Greatest Common Factor of 2970 and 2975 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 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1,5,7,17,25,35,85,119,175,425,595,2975

Greatest Common Factor

We found the factors and prime factorization of 2970 and 2975. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2975 is 5.

Also check out the Least Common Multiple of 2970 and 2975

Properties of GCF 2970 and 2975

(i) The GCF of 2970 and 2975 is associative

GCF of 2970 and 2975 = GCF of 2975 and 2970

Related Greatest Common Factor of 2970

Related Greatest Common Factor of 2975

Frequently Asked Questions on GCF of 2970 and 2975

1. What is the GCF of 2970 and 2975?

Answer: GCF of 2970 and 2975 is 5.

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 2975?

Answer: Factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975. There are 12 integers that are factors of 2975. The greatest factor of 2975 is 2975.

4. How to Find the GCF of 2970 and 2975?

Answer:

Greatest Common Factor of 2970 and 2975 = 5

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 2975

2975 = 5 x 5 x 7 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2970 and 2975 is 5