What is the Greatest Common Factor of 6102 and 6111?

Greatest common factor (GCF) of 6102 and 6111 is 9.

GCF(6102,6111) = 9

We will now calculate the prime factors of 6102 and 6111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6102 and 6111.

How to find the GCF of 6102 and 6111?

We will first find the prime factorization of 6102 and 6111. After we will calculate the factors of 6102 and 6111 and find the biggest common factor number .

Step-1: Prime Factorization of 6102

Prime factors of 6102 are 2, 3, 113. Prime factorization of 6102 in exponential form is:

6102 = 2¹ × 3³ × 113¹

Step-2: 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-3: Factors of 6102

List of positive integer factors of 6102 that divides 6102 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051

Step-4: Factors of 6111

List of positive integer factors of 6111 that divides 6102 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6102 and 6111. The biggest common factor number is the GCF number.
So the greatest common factor 6102 and 6111 is 9.

Also check out the Least Common Multiple of 6102 and 6111