What is the Greatest Common Factor of 6102 and 6109?

Greatest common factor (GCF) of 6102 and 6109 is 1.

GCF(6102,6109) = 1

We will now calculate the prime factors of 6102 and 6109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6102 and 6109.

How to find the GCF of 6102 and 6109?

We will first find the prime factorization of 6102 and 6109. After we will calculate the factors of 6102 and 6109 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 6109

Prime factors of 6109 are 41, 149. Prime factorization of 6109 in exponential form is:

6109 = 41¹ × 149¹

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 6109

List of positive integer factors of 6109 that divides 6102 without a remainder.

1, 41, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6102 and 6109. The biggest common factor number is the GCF number.
So the greatest common factor 6102 and 6109 is 1.

Also check out the Least Common Multiple of 6102 and 6109