Greatest Common Factor of 970 and 972

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, 972 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 970 and 972 is 2.

GCF(970,972) = 2

GCF of 970 and 972

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

GCF of:
and

Greatest Common Factor of 970 and 972

GCF of 970 and 972 is 2

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 972


2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 972 are 2,3. Prime factorization of 972 in exponential form is:

972 = 22×35

∴ So by taking common prime factors GCF of 970 and 972 is 2

Greatest Common Factor of 970 and 972 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 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors and prime factorization of 970 and 972. The biggest common factor number is the GCF number.
So the greatest common factor 970 and 972 is 2.

Also check out the Least Common Multiple of 970 and 972

Properties of GCF 970 and 972

(i) The GCF of 970 and 972 is associative

GCF of 970 and 972 = GCF of 972 and 970

Related Greatest Common Factor of 970

Related Greatest Common Factor of 972

Frequently Asked Questions on GCF of 970 and 972

1. What is the GCF of 970 and 972?

Answer: GCF of 970 and 972 is 2.

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 972?

Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.

4. How to Find the GCF of 970 and 972?

Answer:

Greatest Common Factor of 970 and 972 = 2

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

Step 2: Find the prime factorization of 972

972 = 2 x 2 x 3 x 3 x 3 x 3 x 3

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

GCF = 2

Step 4: Therefore, the greatest common factor of 970 and 972 is 2