What is the Greatest Common Factor of 6123 and 6135?

Greatest common factor (GCF) of 6123 and 6135 is 3.

GCF(6123,6135) = 3

We will now calculate the prime factors of 6123 and 6135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6123 and 6135.

How to find the GCF of 6123 and 6135?

We will first find the prime factorization of 6123 and 6135. After we will calculate the factors of 6123 and 6135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6135

Prime factors of 6135 are 3, 5, 409. Prime factorization of 6135 in exponential form is:

6135 = 3¹ × 5¹ × 409¹

Step-3: Factors of 6123

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

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

Step-4: Factors of 6135

List of positive integer factors of 6135 that divides 6123 without a remainder.

1, 3, 5, 15, 409, 1227, 2045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6123 and 6135. The biggest common factor number is the GCF number.
So the greatest common factor 6123 and 6135 is 3.

Also check out the Least Common Multiple of 6123 and 6135