Greatest Common Factor of 946 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 946, 950 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 946 and 950 is 2.

GCF(946,950) = 2

GCF of 946 and 950

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

GCF of:
and

Greatest Common Factor of 946 and 950

GCF of 946 and 950 is 2

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2,11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

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 946 and 950 is 2

Greatest Common Factor of 946 and 950 by matching factors method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

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 946 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 950 is 2.

Also check out the Least Common Multiple of 946 and 950

Properties of GCF 946 and 950

(i) The GCF of 946 and 950 is associative

GCF of 946 and 950 = GCF of 950 and 946

Related Greatest Common Factor of 946

Related Greatest Common Factor of 950

Frequently Asked Questions on GCF of 946 and 950

1. What is the GCF of 946 and 950?

Answer: GCF of 946 and 950 is 2.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

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 946 and 950?

Answer:

Greatest Common Factor of 946 and 950 = 2

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

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 946 and 950 is 2