Greatest Common Factor of 960 and 965

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, 965 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 960 and 965 is 5.

GCF(960,965) = 5

GCF of 960 and 965

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

GCF of:
and

Greatest Common Factor of 960 and 965

GCF of 960 and 965 is 5

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 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

∴ So by taking common prime factors GCF of 960 and 965 is 5

Greatest Common Factor of 960 and 965 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 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors and prime factorization of 960 and 965. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 965 is 5.

Also check out the Least Common Multiple of 960 and 965

Properties of GCF 960 and 965

(i) The GCF of 960 and 965 is associative

GCF of 960 and 965 = GCF of 965 and 960

Related Greatest Common Factor of 960

Related Greatest Common Factor of 965

Frequently Asked Questions on GCF of 960 and 965

1. What is the GCF of 960 and 965?

Answer: GCF of 960 and 965 is 5.

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 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

4. How to Find the GCF of 960 and 965?

Answer:

Greatest Common Factor of 960 and 965 = 5

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 965

965 = 5 x 193

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

GCF = 5

Step 4: Therefore, the greatest common factor of 960 and 965 is 5