What is the Greatest Common Factor of 6137 and 6150?

Greatest common factor (GCF) of 6137 and 6150 is 1.

GCF(6137,6150) = 1

We will now calculate the prime factors of 6137 and 6150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6137 and 6150.

How to find the GCF of 6137 and 6150?

We will first find the prime factorization of 6137 and 6150. After we will calculate the factors of 6137 and 6150 and find the biggest common factor number .

Step-1: Prime Factorization of 6137

Prime factors of 6137 are 17, 19. Prime factorization of 6137 in exponential form is:

6137 = 17¹ × 19²

Step-2: Prime Factorization of 6150

Prime factors of 6150 are 2, 3, 5, 41. Prime factorization of 6150 in exponential form is:

6150 = 2¹ × 3¹ × 5² × 41¹

Step-3: Factors of 6137

List of positive integer factors of 6137 that divides 6137 without a remainder.

1, 17, 19, 323, 361

Step-4: Factors of 6150

List of positive integer factors of 6150 that divides 6137 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6137 and 6150. The biggest common factor number is the GCF number.
So the greatest common factor 6137 and 6150 is 1.

Also check out the Least Common Multiple of 6137 and 6150