What is the Greatest Common Factor of 6093 and 6102?

Greatest common factor (GCF) of 6093 and 6102 is 9.

GCF(6093,6102) = 9

We will now calculate the prime factors of 6093 and 6102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6093 and 6102.

How to find the GCF of 6093 and 6102?

We will first find the prime factorization of 6093 and 6102. After we will calculate the factors of 6093 and 6102 and find the biggest common factor number .

Step-1: Prime Factorization of 6093

Prime factors of 6093 are 3, 677. Prime factorization of 6093 in exponential form is:

6093 = 3² × 677¹

Step-2: 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-3: Factors of 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1, 3, 9, 677, 2031

Step-4: Factors of 6102

List of positive integer factors of 6102 that divides 6093 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6093 and 6102. The biggest common factor number is the GCF number.
So the greatest common factor 6093 and 6102 is 9.

Also check out the Least Common Multiple of 6093 and 6102