Greatest Common Factor of 956 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 956, 960 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 956 and 960 is 4.

GCF(956,960) = 4

GCF of 956 and 960

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

GCF of:
and

Greatest Common Factor of 956 and 960

GCF of 956 and 960 is 4

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

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 956 and 960 is 4

Greatest Common Factor of 956 and 960 by matching factors method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

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 956 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 956 and 960 is 4.

Also check out the Least Common Multiple of 956 and 960

Properties of GCF 956 and 960

(i) The GCF of 956 and 960 is associative

GCF of 956 and 960 = GCF of 960 and 956

Related Greatest Common Factor of 956

Related Greatest Common Factor of 960

Frequently Asked Questions on GCF of 956 and 960

1. What is the GCF of 956 and 960?

Answer: GCF of 956 and 960 is 4.

2. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

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 956 and 960?

Answer:

Greatest Common Factor of 956 and 960 = 4

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

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 2 = 4

Step 4: Therefore, the greatest common factor of 956 and 960 is 4