Greatest Common Factor of 957 and 963

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, 963 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 957 and 963 is 3.

GCF(957,963) = 3

GCF of 957 and 963

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

GCF of:
and

Greatest Common Factor of 957 and 963

GCF of 957 and 963 is 3

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 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

∴ So by taking common prime factors GCF of 957 and 963 is 3

Greatest Common Factor of 957 and 963 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 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors and prime factorization of 957 and 963. The biggest common factor number is the GCF number.
So the greatest common factor 957 and 963 is 3.

Also check out the Least Common Multiple of 957 and 963

Properties of GCF 957 and 963

(i) The GCF of 957 and 963 is associative

GCF of 957 and 963 = GCF of 963 and 957

Related Greatest Common Factor of 957

Related Greatest Common Factor of 963

Frequently Asked Questions on GCF of 957 and 963

1. What is the GCF of 957 and 963?

Answer: GCF of 957 and 963 is 3.

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 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

4. How to Find the GCF of 957 and 963?

Answer:

Greatest Common Factor of 957 and 963 = 3

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

Step 2: Find the prime factorization of 963

963 = 3 x 3 x 107

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

GCF = 3

Step 4: Therefore, the greatest common factor of 957 and 963 is 3