Greatest Common Factor of 971 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 971, 972 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 971 and 972 is 1.

GCF(971,972) = 1

GCF of 971 and 972

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

GCF of:
and

Greatest Common Factor of 971 and 972

GCF of 971 and 972 is 1

Prime Factorization of 971


971 971
1

Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:

971 = 9711

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.Prime factorization of 972 in exponential form is:

972 = 22×35

∴ So by taking common prime factors GCF of 971 and 972 is 1

Greatest Common Factor of 971 and 972 by matching factors method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

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 971 and 972. The biggest common factor number is the GCF number.
So the greatest common factor 971 and 972 is 1.

Also check out the Least Common Multiple of 971 and 972

Properties of GCF 971 and 972

(i) The GCF of 971 and 972 is associative

GCF of 971 and 972 = GCF of 972 and 971

Related Greatest Common Factor of 971

Related Greatest Common Factor of 972

Frequently Asked Questions on GCF of 971 and 972

1. What is the GCF of 971 and 972?

Answer: GCF of 971 and 972 is 1.

2. What are the Factors of 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

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 971 and 972?

Answer:

Greatest Common Factor of 971 and 972 = 1

Step 1: Find the prime factorization of 971

971 = 971

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 = = 1

Step 4: Therefore, the greatest common factor of 971 and 972 is 1