What is the Greatest Common Factor of 18120 and 18135?

Greatest common factor (GCF) of 18120 and 18135 is 15.

GCF(18120,18135) = 15

We will now calculate the prime factors of 18120 and 18135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18120 and 18135.

How to find the GCF of 18120 and 18135?

We will first find the prime factorization of 18120 and 18135. After we will calculate the factors of 18120 and 18135 and find the biggest common factor number .

Step-1: Prime Factorization of 18120

Prime factors of 18120 are 2, 3, 5, 151. Prime factorization of 18120 in exponential form is:

18120 = 2³ × 3¹ × 5¹ × 151¹

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 18120

List of positive integer factors of 18120 that divides 18120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 151, 302, 453, 604, 755, 906, 1208, 1510, 1812, 2265, 3020, 3624, 4530, 6040, 9060

Step-4: Factors of 18135

List of positive integer factors of 18135 that divides 18120 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 18120 and 18135. The biggest common factor number is the GCF number.
So the greatest common factor 18120 and 18135 is 15.

Also check out the Least Common Multiple of 18120 and 18135