Greatest Common Factor of 957 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 957, 961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 957 and 961 is 1.

GCF(957,961) = 1

GCF of 957 and 961

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

GCF of:
and

Greatest Common Factor of 957 and 961

GCF of 957 and 961 is 1

Prime Factorization of 957


3 957
11 319
29 29
1

Prime factors of 957 are 3,11,29. Prime factorization of 957 in exponential form is:

957 = 31×111×291

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 957 and 961 is 1

Greatest Common Factor of 957 and 961 by matching factors method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

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 957 and 961. The biggest common factor number is the GCF number.
So the greatest common factor 957 and 961 is 1.

Also check out the Least Common Multiple of 957 and 961

Properties of GCF 957 and 961

(i) The GCF of 957 and 961 is associative

GCF of 957 and 961 = GCF of 961 and 957

Related Greatest Common Factor of 957

Related Greatest Common Factor of 961

Frequently Asked Questions on GCF of 957 and 961

1. What is the GCF of 957 and 961?

Answer: GCF of 957 and 961 is 1.

2. What are the Factors of 957?

Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.

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 957 and 961?

Answer:

Greatest Common Factor of 957 and 961 = 1

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

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 957 and 961 is 1