What is the Greatest Common Factor of 38931 and 38950?

Greatest common factor (GCF) of 38931 and 38950 is 19.

GCF(38931,38950) = 19

We will now calculate the prime factors of 38931 and 38950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38931 and 38950.

How to find the GCF of 38931 and 38950?

We will first find the prime factorization of 38931 and 38950. After we will calculate the factors of 38931 and 38950 and find the biggest common factor number .

Step-1: Prime Factorization of 38931

Prime factors of 38931 are 3, 19, 683. Prime factorization of 38931 in exponential form is:

38931 = 3¹ × 19¹ × 683¹

Step-2: Prime Factorization of 38950

Prime factors of 38950 are 2, 5, 19, 41. Prime factorization of 38950 in exponential form is:

38950 = 2¹ × 5² × 19¹ × 41¹

Step-3: Factors of 38931

List of positive integer factors of 38931 that divides 38931 without a remainder.

1, 3, 19, 57, 683, 2049, 12977

Step-4: Factors of 38950

List of positive integer factors of 38950 that divides 38931 without a remainder.

1, 2, 5, 10, 19, 25, 38, 41, 50, 82, 95, 190, 205, 410, 475, 779, 950, 1025, 1558, 2050, 3895, 7790, 19475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38931 and 38950. The biggest common factor number is the GCF number.
So the greatest common factor 38931 and 38950 is 19.

Also check out the Least Common Multiple of 38931 and 38950