Greatest Common Factor of 956 and 962

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, 962 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 956 and 962 is 2.

GCF(956,962) = 2

GCF of 956 and 962

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

GCF of:
and

Greatest Common Factor of 956 and 962

GCF of 956 and 962 is 2

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 962


2 962
13 481
37 37
1

Prime factors of 962 are 2,13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

∴ So by taking common prime factors GCF of 956 and 962 is 2

Greatest Common Factor of 956 and 962 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 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors and prime factorization of 956 and 962. The biggest common factor number is the GCF number.
So the greatest common factor 956 and 962 is 2.

Also check out the Least Common Multiple of 956 and 962

Properties of GCF 956 and 962

(i) The GCF of 956 and 962 is associative

GCF of 956 and 962 = GCF of 962 and 956

Related Greatest Common Factor of 956

Related Greatest Common Factor of 962

Frequently Asked Questions on GCF of 956 and 962

1. What is the GCF of 956 and 962?

Answer: GCF of 956 and 962 is 2.

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 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

4. How to Find the GCF of 956 and 962?

Answer:

Greatest Common Factor of 956 and 962 = 2

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

Step 2: Find the prime factorization of 962

962 = 2 x 13 x 37

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

GCF = 2

Step 4: Therefore, the greatest common factor of 956 and 962 is 2