Greatest Common Factor of 960 and 966

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, 966 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 960 and 966 is 6.

GCF(960,966) = 6

GCF of 960 and 966

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

GCF of:
and

Greatest Common Factor of 960 and 966

GCF of 960 and 966 is 6

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 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

∴ So by taking common prime factors GCF of 960 and 966 is 6

Greatest Common Factor of 960 and 966 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 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

Greatest Common Factor

We found the factors and prime factorization of 960 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 966 is 6.

Also check out the Least Common Multiple of 960 and 966

Properties of GCF 960 and 966

(i) The GCF of 960 and 966 is associative

GCF of 960 and 966 = GCF of 966 and 960

Related Greatest Common Factor of 960

Related Greatest Common Factor of 966

Frequently Asked Questions on GCF of 960 and 966

1. What is the GCF of 960 and 966?

Answer: GCF of 960 and 966 is 6.

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 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.

4. How to Find the GCF of 960 and 966?

Answer:

Greatest Common Factor of 960 and 966 = 6

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 966

966 = 2 x 3 x 7 x 23

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 960 and 966 is 6