Greatest Common Factor of 972 and 976

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

Greatest common factor (GCF) of 972 and 976 is 4.

GCF(972,976) = 4

GCF of 972 and 976

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

GCF of:
and

Greatest Common Factor of 972 and 976

GCF of 972 and 976 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 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

∴ So by taking common prime factors GCF of 972 and 976 is 4

Greatest Common Factor of 972 and 976 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 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors and prime factorization of 972 and 976. The biggest common factor number is the GCF number.
So the greatest common factor 972 and 976 is 4.

Also check out the Least Common Multiple of 972 and 976

Properties of GCF 972 and 976

(i) The GCF of 972 and 976 is associative

GCF of 972 and 976 = GCF of 976 and 972

Related Greatest Common Factor of 972

Related Greatest Common Factor of 976

Frequently Asked Questions on GCF of 972 and 976

1. What is the GCF of 972 and 976?

Answer: GCF of 972 and 976 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 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. How to Find the GCF of 972 and 976?

Answer:

Greatest Common Factor of 972 and 976 = 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 976

976 = 2 x 2 x 2 x 2 x 61

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 976 is 4