Greatest Common Factor of 966 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 966, 972 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 966 and 972 is 6.

GCF(966,972) = 6

GCF of 966 and 972

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

GCF of:
and

Greatest Common Factor of 966 and 972

GCF of 966 and 972 is 6

Prime Factorization of 966


2 966
3 483
7 161
23 23
1

Prime factors of 966 are 2,3,7,23. Prime factorization of 966 in exponential form is:

966 = 21×31×71×231

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 966 and 972 is 6

Greatest Common Factor of 966 and 972 by matching factors method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

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 966 and 972. The biggest common factor number is the GCF number.
So the greatest common factor 966 and 972 is 6.

Also check out the Least Common Multiple of 966 and 972

Properties of GCF 966 and 972

(i) The GCF of 966 and 972 is associative

GCF of 966 and 972 = GCF of 972 and 966

Related Greatest Common Factor of 966

Related Greatest Common Factor of 972

Frequently Asked Questions on GCF of 966 and 972

1. What is the GCF of 966 and 972?

Answer: GCF of 966 and 972 is 6.

2. What are the Factors of 966?

Answer: Factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. There are 16 integers that are factors of 966. The greatest factor of 966 is 966.

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 966 and 972?

Answer:

Greatest Common Factor of 966 and 972 = 6

Step 1: Find the prime factorization of 966

966 = 2 x 3 x 7 x 23

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 966 and 972 is 6