What is the Greatest Common Factor of 57931 and 57950?

Greatest common factor (GCF) of 57931 and 57950 is 19.

GCF(57931,57950) = 19

We will now calculate the prime factors of 57931 and 57950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57931 and 57950.

How to find the GCF of 57931 and 57950?

We will first find the prime factorization of 57931 and 57950. After we will calculate the factors of 57931 and 57950 and find the biggest common factor number .

Step-1: Prime Factorization of 57931

Prime factors of 57931 are 19, 3049. Prime factorization of 57931 in exponential form is:

57931 = 19¹ × 3049¹

Step-2: Prime Factorization of 57950

Prime factors of 57950 are 2, 5, 19, 61. Prime factorization of 57950 in exponential form is:

57950 = 2¹ × 5² × 19¹ × 61¹

Step-3: Factors of 57931

List of positive integer factors of 57931 that divides 57931 without a remainder.

1, 19, 3049

Step-4: Factors of 57950

List of positive integer factors of 57950 that divides 57931 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 61, 95, 122, 190, 305, 475, 610, 950, 1159, 1525, 2318, 3050, 5795, 11590, 28975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57931 and 57950. The biggest common factor number is the GCF number.
So the greatest common factor 57931 and 57950 is 19.

Also check out the Least Common Multiple of 57931 and 57950