What is the Greatest Common Factor of 6108 and 6123?

Greatest common factor (GCF) of 6108 and 6123 is 3.

GCF(6108,6123) = 3

We will now calculate the prime factors of 6108 and 6123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6108 and 6123.

How to find the GCF of 6108 and 6123?

We will first find the prime factorization of 6108 and 6123. After we will calculate the factors of 6108 and 6123 and find the biggest common factor number .

Step-1: Prime Factorization of 6108

Prime factors of 6108 are 2, 3, 509. Prime factorization of 6108 in exponential form is:

6108 = 2² × 3¹ × 509¹

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 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054

Step-4: Factors of 6123

List of positive integer factors of 6123 that divides 6108 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6108 and 6123. The biggest common factor number is the GCF number.
So the greatest common factor 6108 and 6123 is 3.

Also check out the Least Common Multiple of 6108 and 6123