What is the Greatest Common Factor of 18135 and 18141?

Greatest common factor (GCF) of 18135 and 18141 is 3.

GCF(18135,18141) = 3

We will now calculate the prime factors of 18135 and 18141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18135 and 18141.

How to find the GCF of 18135 and 18141?

We will first find the prime factorization of 18135 and 18141. After we will calculate the factors of 18135 and 18141 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18141

Prime factors of 18141 are 3, 6047. Prime factorization of 18141 in exponential form is:

18141 = 3¹ × 6047¹

Step-3: Factors of 18135

List of positive integer factors of 18135 that divides 18135 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

Step-4: Factors of 18141

List of positive integer factors of 18141 that divides 18135 without a remainder.

1, 3, 6047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18135 and 18141. The biggest common factor number is the GCF number.
So the greatest common factor 18135 and 18141 is 3.

Also check out the Least Common Multiple of 18135 and 18141