What is the Greatest Common Factor of 18135 and 18145?

Greatest common factor (GCF) of 18135 and 18145 is 5.

GCF(18135,18145) = 5

We will now calculate the prime factors of 18135 and 18145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18135 and 18145.

How to find the GCF of 18135 and 18145?

We will first find the prime factorization of 18135 and 18145. After we will calculate the factors of 18135 and 18145 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 18145

Prime factors of 18145 are 5, 19, 191. Prime factorization of 18145 in exponential form is:

18145 = 5¹ × 19¹ × 191¹

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 18145

List of positive integer factors of 18145 that divides 18135 without a remainder.

1, 5, 19, 95, 191, 955, 3629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18135 and 18145. The biggest common factor number is the GCF number.
So the greatest common factor 18135 and 18145 is 5.

Also check out the Least Common Multiple of 18135 and 18145