What is the Greatest Common Factor of 18198 and 18209?

Greatest common factor (GCF) of 18198 and 18209 is 1.

GCF(18198,18209) = 1

We will now calculate the prime factors of 18198 and 18209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18198 and 18209.

How to find the GCF of 18198 and 18209?

We will first find the prime factorization of 18198 and 18209. After we will calculate the factors of 18198 and 18209 and find the biggest common factor number .

Step-1: Prime Factorization of 18198

Prime factors of 18198 are 2, 3, 337. Prime factorization of 18198 in exponential form is:

18198 = 2¹ × 3³ × 337¹

Step-2: Prime Factorization of 18209

Prime factors of 18209 are 131, 139. Prime factorization of 18209 in exponential form is:

18209 = 131¹ × 139¹

Step-3: Factors of 18198

List of positive integer factors of 18198 that divides 18198 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 337, 674, 1011, 2022, 3033, 6066, 9099

Step-4: Factors of 18209

List of positive integer factors of 18209 that divides 18198 without a remainder.

1, 131, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18198 and 18209. The biggest common factor number is the GCF number.
So the greatest common factor 18198 and 18209 is 1.

Also check out the Least Common Multiple of 18198 and 18209