What is the Greatest Common Factor of 18209 and 18227?

Greatest common factor (GCF) of 18209 and 18227 is 1.

GCF(18209,18227) = 1

We will now calculate the prime factors of 18209 and 18227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18209 and 18227.

How to find the GCF of 18209 and 18227?

We will first find the prime factorization of 18209 and 18227. After we will calculate the factors of 18209 and 18227 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 18227

Prime factors of 18227 are 11, 1657. Prime factorization of 18227 in exponential form is:

18227 = 11¹ × 1657¹

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 18227

List of positive integer factors of 18227 that divides 18209 without a remainder.

1, 11, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18209 and 18227. The biggest common factor number is the GCF number.
So the greatest common factor 18209 and 18227 is 1.

Also check out the Least Common Multiple of 18209 and 18227