What is the Greatest Common Factor of 18204 and 18217?

Greatest common factor (GCF) of 18204 and 18217 is 1.

GCF(18204,18217) = 1

We will now calculate the prime factors of 18204 and 18217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18204 and 18217.

How to find the GCF of 18204 and 18217?

We will first find the prime factorization of 18204 and 18217. After we will calculate the factors of 18204 and 18217 and find the biggest common factor number .

Step-1: Prime Factorization of 18204

Prime factors of 18204 are 2, 3, 37, 41. Prime factorization of 18204 in exponential form is:

18204 = 2² × 3¹ × 37¹ × 41¹

Step-2: Prime Factorization of 18217

Prime factors of 18217 are 18217. Prime factorization of 18217 in exponential form is:

18217 = 18217¹

Step-3: Factors of 18204

List of positive integer factors of 18204 that divides 18204 without a remainder.

1, 2, 3, 4, 6, 12, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246, 444, 492, 1517, 3034, 4551, 6068, 9102

Step-4: Factors of 18217

List of positive integer factors of 18217 that divides 18204 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18204 and 18217. The biggest common factor number is the GCF number.
So the greatest common factor 18204 and 18217 is 1.

Also check out the Least Common Multiple of 18204 and 18217