What is the Greatest Common Factor of 930 and 950?

Greatest common factor (GCF) of 930 and 950 is 10.

GCF(930,950) = 10

We will now calculate the prime factors of 930 and 950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 930 and 950.

How to find the GCF of 930 and 950?

We will first find the prime factorization of 930 and 950. After we will calculate the factors of 930 and 950 and find the biggest common factor number .

Step-1: Prime Factorization of 930

Prime factors of 930 are 2, 3, 5, 31. Prime factorization of 930 in exponential form is:

930 = 2¹ × 3¹ × 5¹ × 31¹

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 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465

Step-4: Factors of 950

List of positive integer factors of 950 that divides 930 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 930 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 930 and 950 is 10.

Also check out the Least Common Multiple of 930 and 950