What is the Greatest Common Factor of 6114 and 6123?

Greatest common factor (GCF) of 6114 and 6123 is 3.

GCF(6114,6123) = 3

We will now calculate the prime factors of 6114 and 6123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6114 and 6123.

How to find the GCF of 6114 and 6123?

We will first find the prime factorization of 6114 and 6123. After we will calculate the factors of 6114 and 6123 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6123

Prime factors of 6123 are 3, 13, 157. Prime factorization of 6123 in exponential form is:

6123 = 3¹ × 13¹ × 157¹

Step-3: Factors of 6114

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

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

Step-4: Factors of 6123

List of positive integer factors of 6123 that divides 6114 without a remainder.

1, 3, 13, 39, 157, 471, 2041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6114 and 6123. The biggest common factor number is the GCF number.
So the greatest common factor 6114 and 6123 is 3.

Also check out the Least Common Multiple of 6114 and 6123