Greatest Common Factor of 952 and 958

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

Greatest common factor (GCF) of 952 and 958 is 2.

GCF(952,958) = 2

GCF of 952 and 958

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

GCF of:
and

Greatest Common Factor of 952 and 958

GCF of 952 and 958 is 2

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 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

∴ So by taking common prime factors GCF of 952 and 958 is 2

Greatest Common Factor of 952 and 958 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 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors and prime factorization of 952 and 958. The biggest common factor number is the GCF number.
So the greatest common factor 952 and 958 is 2.

Also check out the Least Common Multiple of 952 and 958

Properties of GCF 952 and 958

(i) The GCF of 952 and 958 is associative

GCF of 952 and 958 = GCF of 958 and 952

Related Greatest Common Factor of 952

Related Greatest Common Factor of 958

Frequently Asked Questions on GCF of 952 and 958

1. What is the GCF of 952 and 958?

Answer: GCF of 952 and 958 is 2.

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 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

4. How to Find the GCF of 952 and 958?

Answer:

Greatest Common Factor of 952 and 958 = 2

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 958

958 = 2 x 479

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 952 and 958 is 2