Greatest Common Factor of 952 and 959

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 952, 959 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 952 and 959 is 7.

GCF(952,959) = 7

GCF of 952 and 959

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

GCF of:
and

Greatest Common Factor of 952 and 959

GCF of 952 and 959 is 7

Prime Factorization of 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2,7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

Prime Factorization of 959


7 959
137 137
1

Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:

959 = 71×1371

∴ So by taking common prime factors GCF of 952 and 959 is 7

Greatest Common Factor of 952 and 959 by matching factors method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors and prime factorization of 952 and 959. The biggest common factor number is the GCF number.
So the greatest common factor 952 and 959 is 7.

Also check out the Least Common Multiple of 952 and 959

Properties of GCF 952 and 959

(i) The GCF of 952 and 959 is associative

GCF of 952 and 959 = GCF of 959 and 952

Related Greatest Common Factor of 952

Related Greatest Common Factor of 959

Frequently Asked Questions on GCF of 952 and 959

1. What is the GCF of 952 and 959?

Answer: GCF of 952 and 959 is 7.

2. What are the Factors of 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

3. What are the Factors of 959?

Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.

4. How to Find the GCF of 952 and 959?

Answer:

Greatest Common Factor of 952 and 959 = 7

Step 1: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 959

959 = 7 x 137

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

GCF = 7

Step 4: Therefore, the greatest common factor of 952 and 959 is 7