Greatest Common Factor of 960 and 961

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, 961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 960 and 961 is 1.

GCF(960,961) = 1

GCF of 960 and 961

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

GCF of:
and

Greatest Common Factor of 960 and 961

GCF of 960 and 961 is 1

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 961


31 961
31 31
1

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 312

∴ So by taking common prime factors GCF of 960 and 961 is 1

Greatest Common Factor of 960 and 961 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 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors and prime factorization of 960 and 961. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 961 is 1.

Also check out the Least Common Multiple of 960 and 961

Properties of GCF 960 and 961

(i) The GCF of 960 and 961 is associative

GCF of 960 and 961 = GCF of 961 and 960

Related Greatest Common Factor of 960

Related Greatest Common Factor of 961

Frequently Asked Questions on GCF of 960 and 961

1. What is the GCF of 960 and 961?

Answer: GCF of 960 and 961 is 1.

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 961?

Answer: Factors of 961 are 1, 31, 961. There are 3 integers that are factors of 961. The greatest factor of 961 is 961.

4. How to Find the GCF of 960 and 961?

Answer:

Greatest Common Factor of 960 and 961 = 1

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 961

961 = 31 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 960 and 961 is 1