Greatest Common Factor of 964 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 964, 972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 964 and 972 is 4.

GCF(964,972) = 4

GCF of 964 and 972

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

GCF of:
and

Greatest Common Factor of 964 and 972

GCF of 964 and 972 is 4

Prime Factorization of 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

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 964 and 972 is 4

Greatest Common Factor of 964 and 972 by matching factors method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

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 964 and 972. The biggest common factor number is the GCF number.
So the greatest common factor 964 and 972 is 4.

Also check out the Least Common Multiple of 964 and 972

Properties of GCF 964 and 972

(i) The GCF of 964 and 972 is associative

GCF of 964 and 972 = GCF of 972 and 964

Related Greatest Common Factor of 964

Related Greatest Common Factor of 972

Frequently Asked Questions on GCF of 964 and 972

1. What is the GCF of 964 and 972?

Answer: GCF of 964 and 972 is 4.

2. What are the Factors of 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

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 964 and 972?

Answer:

Greatest Common Factor of 964 and 972 = 4

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

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 2 = 4

Step 4: Therefore, the greatest common factor of 964 and 972 is 4