What is the Greatest Common Factor of 6105 and 6114?

Greatest common factor (GCF) of 6105 and 6114 is 3.

GCF(6105,6114) = 3

We will now calculate the prime factors of 6105 and 6114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6105 and 6114.

How to find the GCF of 6105 and 6114?

We will first find the prime factorization of 6105 and 6114. After we will calculate the factors of 6105 and 6114 and find the biggest common factor number .

Step-1: Prime Factorization of 6105

Prime factors of 6105 are 3, 5, 11, 37. Prime factorization of 6105 in exponential form is:

6105 = 3¹ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 6114

Prime factors of 6114 are 2, 3, 1019. Prime factorization of 6114 in exponential form is:

6114 = 2¹ × 3¹ × 1019¹

Step-3: Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035

Step-4: Factors of 6114

List of positive integer factors of 6114 that divides 6105 without a remainder.

1, 2, 3, 6, 1019, 2038, 3057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6105 and 6114. The biggest common factor number is the GCF number.
So the greatest common factor 6105 and 6114 is 3.

Also check out the Least Common Multiple of 6105 and 6114