What is the Greatest Common Factor of 12123 and 12135?

Greatest common factor (GCF) of 12123 and 12135 is 3.

GCF(12123,12135) = 3

We will now calculate the prime factors of 12123 and 12135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12123 and 12135.

How to find the GCF of 12123 and 12135?

We will first find the prime factorization of 12123 and 12135. After we will calculate the factors of 12123 and 12135 and find the biggest common factor number .

Step-1: Prime Factorization of 12123

Prime factors of 12123 are 3, 449. Prime factorization of 12123 in exponential form is:

12123 = 3³ × 449¹

Step-2: Prime Factorization of 12135

Prime factors of 12135 are 3, 5, 809. Prime factorization of 12135 in exponential form is:

12135 = 3¹ × 5¹ × 809¹

Step-3: Factors of 12123

List of positive integer factors of 12123 that divides 12123 without a remainder.

1, 3, 9, 27, 449, 1347, 4041

Step-4: Factors of 12135

List of positive integer factors of 12135 that divides 12123 without a remainder.

1, 3, 5, 15, 809, 2427, 4045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12123 and 12135. The biggest common factor number is the GCF number.
So the greatest common factor 12123 and 12135 is 3.

Also check out the Least Common Multiple of 12123 and 12135