Greatest Common Factor of 960 and 964

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 960, 964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 960 and 964 is 4.

GCF(960,964) = 4

GCF of 960 and 964

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

GCF of:
and

Greatest Common Factor of 960 and 964

GCF of 960 and 964 is 4

Prime Factorization of 960


2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 960 are 2,3,5. Prime factorization of 960 in exponential form is:

960 = 26×31×51

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

∴ So by taking common prime factors GCF of 960 and 964 is 4

Greatest Common Factor of 960 and 964 by matching factors method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 964

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

1,2,4,241,482,964

Greatest Common Factor

We found the factors and prime factorization of 960 and 964. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 964 is 4.

Also check out the Least Common Multiple of 960 and 964

Properties of GCF 960 and 964

(i) The GCF of 960 and 964 is associative

GCF of 960 and 964 = GCF of 964 and 960

Related Greatest Common Factor of 960

Related Greatest Common Factor of 964

Frequently Asked Questions on GCF of 960 and 964

1. What is the GCF of 960 and 964?

Answer: GCF of 960 and 964 is 4.

2. What are the Factors of 960?

Answer: Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. There are 28 integers that are factors of 960. The greatest factor of 960 is 960.

3. 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.

4. How to Find the GCF of 960 and 964?

Answer:

Greatest Common Factor of 960 and 964 = 4

Step 1: Find the prime factorization of 960

960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 964

964 = 2 x 2 x 241

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 960 and 964 is 4