What is the Greatest Common Factor of 18204 and 18221?

Greatest common factor (GCF) of 18204 and 18221 is 1.

GCF(18204,18221) = 1

We will now calculate the prime factors of 18204 and 18221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18204 and 18221.

How to find the GCF of 18204 and 18221?

We will first find the prime factorization of 18204 and 18221. After we will calculate the factors of 18204 and 18221 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 18221

Prime factors of 18221 are 7, 19, 137. Prime factorization of 18221 in exponential form is:

18221 = 7¹ × 19¹ × 137¹

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 18221

List of positive integer factors of 18221 that divides 18204 without a remainder.

1, 7, 19, 133, 137, 959, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18204 and 18221. The biggest common factor number is the GCF number.
So the greatest common factor 18204 and 18221 is 1.

Also check out the Least Common Multiple of 18204 and 18221