Greatest Common Factor of 965 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 965, 972 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 965 and 972 is 1.

GCF(965,972) = 1

GCF of 965 and 972

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

GCF of:
and

Greatest Common Factor of 965 and 972

GCF of 965 and 972 is 1

Prime Factorization of 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

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

∴ So by taking common prime factors GCF of 965 and 972 is 1

Greatest Common Factor of 965 and 972 by matching factors method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

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 965 and 972. The biggest common factor number is the GCF number.
So the greatest common factor 965 and 972 is 1.

Also check out the Least Common Multiple of 965 and 972

Properties of GCF 965 and 972

(i) The GCF of 965 and 972 is associative

GCF of 965 and 972 = GCF of 972 and 965

Related Greatest Common Factor of 965

Related Greatest Common Factor of 972

Frequently Asked Questions on GCF of 965 and 972

1. What is the GCF of 965 and 972?

Answer: GCF of 965 and 972 is 1.

2. What are the Factors of 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

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 965 and 972?

Answer:

Greatest Common Factor of 965 and 972 = 1

Step 1: Find the prime factorization of 965

965 = 5 x 193

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 965 and 972 is 1