Greatest Common Factor of 970 and 975

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 970, 975 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 970 and 975 is 5.

GCF(970,975) = 5

GCF of 970 and 975

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

GCF of:
and

Greatest Common Factor of 970 and 975

GCF of 970 and 975 is 5

Prime Factorization of 970


2 970
5 485
97 97
1

Prime factors of 970 are 2,5,97. Prime factorization of 970 in exponential form is:

970 = 21×51×971

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3,5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

∴ So by taking common prime factors GCF of 970 and 975 is 5

Greatest Common Factor of 970 and 975 by matching factors method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors and prime factorization of 970 and 975. The biggest common factor number is the GCF number.
So the greatest common factor 970 and 975 is 5.

Also check out the Least Common Multiple of 970 and 975

Properties of GCF 970 and 975

(i) The GCF of 970 and 975 is associative

GCF of 970 and 975 = GCF of 975 and 970

Related Greatest Common Factor of 970

Related Greatest Common Factor of 975

Frequently Asked Questions on GCF of 970 and 975

1. What is the GCF of 970 and 975?

Answer: GCF of 970 and 975 is 5.

2. What are the Factors of 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

3. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

4. How to Find the GCF of 970 and 975?

Answer:

Greatest Common Factor of 970 and 975 = 5

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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 970 and 975 is 5