Greatest Common Factor of 954 and 960

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 954, 960 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 954 and 960 is 6.

GCF(954,960) = 6

GCF of 954 and 960

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

GCF of:
and

Greatest Common Factor of 954 and 960

GCF of 954 and 960 is 6

Prime Factorization of 954


2 954
3 477
3 159
53 53
1

Prime factors of 954 are 2,3,53. Prime factorization of 954 in exponential form is:

954 = 21×32×531

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

∴ So by taking common prime factors GCF of 954 and 960 is 6

Greatest Common Factor of 954 and 960 by matching factors method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

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

Greatest Common Factor

We found the factors and prime factorization of 954 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 960 is 6.

Also check out the Least Common Multiple of 954 and 960

Properties of GCF 954 and 960

(i) The GCF of 954 and 960 is associative

GCF of 954 and 960 = GCF of 960 and 954

Related Greatest Common Factor of 954

Related Greatest Common Factor of 960

Frequently Asked Questions on GCF of 954 and 960

1. What is the GCF of 954 and 960?

Answer: GCF of 954 and 960 is 6.

2. What are the Factors of 954?

Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.

3. 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.

4. How to Find the GCF of 954 and 960?

Answer:

Greatest Common Factor of 954 and 960 = 6

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 960

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

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 954 and 960 is 6