Greatest Common Factor of 942 and 950

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 942, 950 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 942 and 950 is 2.

GCF(942,950) = 2

GCF of 942 and 950

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

GCF of:
and

Greatest Common Factor of 942 and 950

GCF of 942 and 950 is 2

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2,3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

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

∴ So by taking common prime factors GCF of 942 and 950 is 2

Greatest Common Factor of 942 and 950 by matching factors method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

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

Greatest Common Factor

We found the factors and prime factorization of 942 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 942 and 950 is 2.

Also check out the Least Common Multiple of 942 and 950

Properties of GCF 942 and 950

(i) The GCF of 942 and 950 is associative

GCF of 942 and 950 = GCF of 950 and 942

Related Greatest Common Factor of 942

Related Greatest Common Factor of 950

Frequently Asked Questions on GCF of 942 and 950

1. What is the GCF of 942 and 950?

Answer: GCF of 942 and 950 is 2.

2. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

3. 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.

4. How to Find the GCF of 942 and 950?

Answer:

Greatest Common Factor of 942 and 950 = 2

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

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 942 and 950 is 2