Greatest Common Factor of 972 and 977

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

Greatest common factor (GCF) of 972 and 977 is 1.

GCF(972,977) = 1

GCF of 972 and 977

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

GCF of:
and

Greatest Common Factor of 972 and 977

GCF of 972 and 977 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 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

∴ So by taking common prime factors GCF of 972 and 977 is 1

Greatest Common Factor of 972 and 977 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 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors and prime factorization of 972 and 977. The biggest common factor number is the GCF number.
So the greatest common factor 972 and 977 is 1.

Also check out the Least Common Multiple of 972 and 977

Properties of GCF 972 and 977

(i) The GCF of 972 and 977 is associative

GCF of 972 and 977 = GCF of 977 and 972

Related Greatest Common Factor of 972

Related Greatest Common Factor of 977

Frequently Asked Questions on GCF of 972 and 977

1. What is the GCF of 972 and 977?

Answer: GCF of 972 and 977 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 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

4. How to Find the GCF of 972 and 977?

Answer:

Greatest Common Factor of 972 and 977 = 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 977

977 = 977

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 977 is 1