Greatest Common Factor of 972 and 980

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 972, 980 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 972 and 980 is 4.

GCF(972,980) = 4

GCF of 972 and 980

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

GCF of:
and

Greatest Common Factor of 972 and 980

GCF of 972 and 980 is 4

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

Prime Factorization of 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2,5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

∴ So by taking common prime factors GCF of 972 and 980 is 4

Greatest Common Factor of 972 and 980 by matching factors method

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

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors and prime factorization of 972 and 980. The biggest common factor number is the GCF number.
So the greatest common factor 972 and 980 is 4.

Also check out the Least Common Multiple of 972 and 980

Properties of GCF 972 and 980

(i) The GCF of 972 and 980 is associative

GCF of 972 and 980 = GCF of 980 and 972

Related Greatest Common Factor of 972

Related Greatest Common Factor of 980

Frequently Asked Questions on GCF of 972 and 980

1. What is the GCF of 972 and 980?

Answer: GCF of 972 and 980 is 4.

2. 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.

3. What are the Factors of 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

4. How to Find the GCF of 972 and 980?

Answer:

Greatest Common Factor of 972 and 980 = 4

Step 1: Find the prime factorization of 972

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

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 972 and 980 is 4