What is the Greatest Common Factor of 946 and 950?

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

GCF(946,950) = 2

We will now calculate the prime factors of 946 and 950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 946 and 950.

How to find the GCF of 946 and 950?

We will first find the prime factorization of 946 and 950. After we will calculate the factors of 946 and 950 and find the biggest common factor number .

Step-1: Prime Factorization of 946

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

946 = 2¹ × 11¹ × 43¹

Step-2: Prime Factorization of 950

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

950 = 2¹ × 5² × 19¹

Step-3: Factors of 946

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

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

Step-4: Factors of 950

List of positive integer factors of 950 that divides 946 without a remainder.

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

Final Step: Biggest Common Factor Number

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