What is the Greatest Common Factor of 18135 and 18150?

Greatest common factor (GCF) of 18135 and 18150 is 15.

GCF(18135,18150) = 15

We will now calculate the prime factors of 18135 and 18150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18135 and 18150.

How to find the GCF of 18135 and 18150?

We will first find the prime factorization of 18135 and 18150. After we will calculate the factors of 18135 and 18150 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 18150

Prime factors of 18150 are 2, 3, 5, 11. Prime factorization of 18150 in exponential form is:

18150 = 2¹ × 3¹ × 5² × 11²

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 18150

List of positive integer factors of 18150 that divides 18135 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 121, 150, 165, 242, 275, 330, 363, 550, 605, 726, 825, 1210, 1650, 1815, 3025, 3630, 6050, 9075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18135 and 18150. The biggest common factor number is the GCF number.
So the greatest common factor 18135 and 18150 is 15.

Also check out the Least Common Multiple of 18135 and 18150