What is the Greatest Common Factor of 18123 and 18135?

Greatest common factor (GCF) of 18123 and 18135 is 3.

GCF(18123,18135) = 3

We will now calculate the prime factors of 18123 and 18135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18123 and 18135.

How to find the GCF of 18123 and 18135?

We will first find the prime factorization of 18123 and 18135. After we will calculate the factors of 18123 and 18135 and find the biggest common factor number .

Step-1: Prime Factorization of 18123

Prime factors of 18123 are 3, 7, 863. Prime factorization of 18123 in exponential form is:

18123 = 3¹ × 7¹ × 863¹

Step-2: Prime Factorization of 18135

Prime factors of 18135 are 3, 5, 13, 31. Prime factorization of 18135 in exponential form is:

18135 = 3² × 5¹ × 13¹ × 31¹

Step-3: Factors of 18123

List of positive integer factors of 18123 that divides 18123 without a remainder.

1, 3, 7, 21, 863, 2589, 6041

Step-4: Factors of 18135

List of positive integer factors of 18135 that divides 18123 without a remainder.

1, 3, 5, 9, 13, 15, 31, 39, 45, 65, 93, 117, 155, 195, 279, 403, 465, 585, 1209, 1395, 2015, 3627, 6045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18123 and 18135. The biggest common factor number is the GCF number.
So the greatest common factor 18123 and 18135 is 3.

Also check out the Least Common Multiple of 18123 and 18135