Greatest Common Factor of 960 and 963

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, 963 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 960 and 963 is 3.

GCF(960,963) = 3

GCF of 960 and 963

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

GCF of:
and

Greatest Common Factor of 960 and 963

GCF of 960 and 963 is 3

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 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

∴ So by taking common prime factors GCF of 960 and 963 is 3

Greatest Common Factor of 960 and 963 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 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors and prime factorization of 960 and 963. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 963 is 3.

Also check out the Least Common Multiple of 960 and 963

Properties of GCF 960 and 963

(i) The GCF of 960 and 963 is associative

GCF of 960 and 963 = GCF of 963 and 960

Related Greatest Common Factor of 960

Related Greatest Common Factor of 963

Frequently Asked Questions on GCF of 960 and 963

1. What is the GCF of 960 and 963?

Answer: GCF of 960 and 963 is 3.

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 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

4. How to Find the GCF of 960 and 963?

Answer:

Greatest Common Factor of 960 and 963 = 3

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 963

963 = 3 x 3 x 107

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

GCF = 3

Step 4: Therefore, the greatest common factor of 960 and 963 is 3