Greatest Common Factor of 960 and 968

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, 968 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 960 and 968 is 8.

GCF(960,968) = 8

GCF of 960 and 968

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

GCF of:
and

Greatest Common Factor of 960 and 968

GCF of 960 and 968 is 8

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 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

∴ So by taking common prime factors GCF of 960 and 968 is 8

Greatest Common Factor of 960 and 968 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 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors and prime factorization of 960 and 968. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 968 is 8.

Also check out the Least Common Multiple of 960 and 968

Properties of GCF 960 and 968

(i) The GCF of 960 and 968 is associative

GCF of 960 and 968 = GCF of 968 and 960

Related Greatest Common Factor of 960

Related Greatest Common Factor of 968

Frequently Asked Questions on GCF of 960 and 968

1. What is the GCF of 960 and 968?

Answer: GCF of 960 and 968 is 8.

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 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

4. How to Find the GCF of 960 and 968?

Answer:

Greatest Common Factor of 960 and 968 = 8

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 968

968 = 2 x 2 x 2 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 960 and 968 is 8