What is the Greatest Common Factor of 6140 and 6150?

Greatest common factor (GCF) of 6140 and 6150 is 10.

GCF(6140,6150) = 10

We will now calculate the prime factors of 6140 and 6150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6140 and 6150.

How to find the GCF of 6140 and 6150?

We will first find the prime factorization of 6140 and 6150. After we will calculate the factors of 6140 and 6150 and find the biggest common factor number .

Step-1: Prime Factorization of 6140

Prime factors of 6140 are 2, 5, 307. Prime factorization of 6140 in exponential form is:

6140 = 2² × 5¹ × 307¹

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 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070

Step-4: Factors of 6150

List of positive integer factors of 6150 that divides 6140 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 6140 and 6150. The biggest common factor number is the GCF number.
So the greatest common factor 6140 and 6150 is 10.

Also check out the Least Common Multiple of 6140 and 6150