What is the Greatest Common Factor of 18209 and 18225?

Greatest common factor (GCF) of 18209 and 18225 is 1.

GCF(18209,18225) = 1

We will now calculate the prime factors of 18209 and 18225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18209 and 18225.

How to find the GCF of 18209 and 18225?

We will first find the prime factorization of 18209 and 18225. After we will calculate the factors of 18209 and 18225 and find the biggest common factor number .

Step-1: Prime Factorization of 18209

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

18209 = 131¹ × 139¹

Step-2: Prime Factorization of 18225

Prime factors of 18225 are 3, 5. Prime factorization of 18225 in exponential form is:

18225 = 3⁶ × 5²

Step-3: Factors of 18209

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

1, 131, 139

Step-4: Factors of 18225

List of positive integer factors of 18225 that divides 18209 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 729, 1215, 2025, 3645, 6075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18209 and 18225. The biggest common factor number is the GCF number.
So the greatest common factor 18209 and 18225 is 1.

Also check out the Least Common Multiple of 18209 and 18225