Greatest Common Factor of 972 and 979

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, 979 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 972 and 979 is 1.

GCF(972,979) = 1

GCF of 972 and 979

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

GCF of:
and

Greatest Common Factor of 972 and 979

GCF of 972 and 979 is 1

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 979


11 979
89 89
1

Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:

979 = 111×891

∴ So by taking common prime factors GCF of 972 and 979 is 1

Greatest Common Factor of 972 and 979 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 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors and prime factorization of 972 and 979. The biggest common factor number is the GCF number.
So the greatest common factor 972 and 979 is 1.

Also check out the Least Common Multiple of 972 and 979

Properties of GCF 972 and 979

(i) The GCF of 972 and 979 is associative

GCF of 972 and 979 = GCF of 979 and 972

Related Greatest Common Factor of 972

Related Greatest Common Factor of 979

Frequently Asked Questions on GCF of 972 and 979

1. What is the GCF of 972 and 979?

Answer: GCF of 972 and 979 is 1.

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 979?

Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.

4. How to Find the GCF of 972 and 979?

Answer:

Greatest Common Factor of 972 and 979 = 1

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 979

979 = 11 x 89

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 972 and 979 is 1