What is the Greatest Common Factor of 18195 and 18210?

Greatest common factor (GCF) of 18195 and 18210 is 15.

GCF(18195,18210) = 15

We will now calculate the prime factors of 18195 and 18210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18195 and 18210.

How to find the GCF of 18195 and 18210?

We will first find the prime factorization of 18195 and 18210. After we will calculate the factors of 18195 and 18210 and find the biggest common factor number .

Step-1: Prime Factorization of 18195

Prime factors of 18195 are 3, 5, 1213. Prime factorization of 18195 in exponential form is:

18195 = 3¹ × 5¹ × 1213¹

Step-2: Prime Factorization of 18210

Prime factors of 18210 are 2, 3, 5, 607. Prime factorization of 18210 in exponential form is:

18210 = 2¹ × 3¹ × 5¹ × 607¹

Step-3: Factors of 18195

List of positive integer factors of 18195 that divides 18195 without a remainder.

1, 3, 5, 15, 1213, 3639, 6065

Step-4: Factors of 18210

List of positive integer factors of 18210 that divides 18195 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 607, 1214, 1821, 3035, 3642, 6070, 9105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18195 and 18210. The biggest common factor number is the GCF number.
So the greatest common factor 18195 and 18210 is 15.

Also check out the Least Common Multiple of 18195 and 18210