What is the Greatest Common Factor of 931 and 950?

Greatest common factor (GCF) of 931 and 950 is 19.

GCF(931,950) = 19

We will now calculate the prime factors of 931 and 950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 931 and 950.

How to find the GCF of 931 and 950?

We will first find the prime factorization of 931 and 950. After we will calculate the factors of 931 and 950 and find the biggest common factor number .

Step-1: Prime Factorization of 931

Prime factors of 931 are 7, 19. Prime factorization of 931 in exponential form is:

931 = 7² × 19¹

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 931

List of positive integer factors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133

Step-4: Factors of 950

List of positive integer factors of 950 that divides 931 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 931 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 931 and 950 is 19.

Also check out the Least Common Multiple of 931 and 950