What is the Greatest Common Factor of 6111 and 6125?

Greatest common factor (GCF) of 6111 and 6125 is 7.

GCF(6111,6125) = 7

We will now calculate the prime factors of 6111 and 6125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6111 and 6125.

How to find the GCF of 6111 and 6125?

We will first find the prime factorization of 6111 and 6125. After we will calculate the factors of 6111 and 6125 and find the biggest common factor number .

Step-1: Prime Factorization of 6111

Prime factors of 6111 are 3, 7, 97. Prime factorization of 6111 in exponential form is:

6111 = 3² × 7¹ × 97¹

Step-2: Prime Factorization of 6125

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

6125 = 5³ × 7²

Step-3: Factors of 6111

List of positive integer factors of 6111 that divides 6111 without a remainder.

1, 3, 7, 9, 21, 63, 97, 291, 679, 873, 2037

Step-4: Factors of 6125

List of positive integer factors of 6125 that divides 6111 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6111 and 6125. The biggest common factor number is the GCF number.
So the greatest common factor 6111 and 6125 is 7.

Also check out the Least Common Multiple of 6111 and 6125