Greatest Common Factor of 950 and 952

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 950, 952 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 950 and 952 is 2.

GCF(950,952) = 2

GCF of 950 and 952

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

GCF of:
and

Greatest Common Factor of 950 and 952

GCF of 950 and 952 is 2

Prime Factorization of 950


2 950
5 475
5 95
19 19
1

Prime factors of 950 are 2,5,19. Prime factorization of 950 in exponential form is:

950 = 21×52×191

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

∴ So by taking common prime factors GCF of 950 and 952 is 2

Greatest Common Factor of 950 and 952 by matching factors method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

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

Greatest Common Factor

We found the factors and prime factorization of 950 and 952. The biggest common factor number is the GCF number.
So the greatest common factor 950 and 952 is 2.

Also check out the Least Common Multiple of 950 and 952

Properties of GCF 950 and 952

(i) The GCF of 950 and 952 is associative

GCF of 950 and 952 = GCF of 952 and 950

Related Greatest Common Factor of 950

Related Greatest Common Factor of 952

Frequently Asked Questions on GCF of 950 and 952

1. What is the GCF of 950 and 952?

Answer: GCF of 950 and 952 is 2.

2. What are the Factors of 950?

Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.

3. 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.

4. How to Find the GCF of 950 and 952?

Answer:

Greatest Common Factor of 950 and 952 = 2

Step 1: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

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 950 and 952 is 2