What is the Greatest Common Factor of 6125 and 6140?

Greatest common factor (GCF) of 6125 and 6140 is 5.

GCF(6125,6140) = 5

We will now calculate the prime factors of 6125 and 6140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6125 and 6140.

How to find the GCF of 6125 and 6140?

We will first find the prime factorization of 6125 and 6140. After we will calculate the factors of 6125 and 6140 and find the biggest common factor number .

Step-1: Prime Factorization of 6125

Prime factors of 6125 are 5, 7. Prime factorization of 6125 in exponential form is:

6125 = 5³ × 7²

Step-2: 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-3: Factors of 6125

List of positive integer factors of 6125 that divides 6125 without a remainder.

1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225

Step-4: Factors of 6140

List of positive integer factors of 6140 that divides 6125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6125 and 6140. The biggest common factor number is the GCF number.
So the greatest common factor 6125 and 6140 is 5.

Also check out the Least Common Multiple of 6125 and 6140