What is the Greatest Common Factor of 18204 and 18222?

Greatest common factor (GCF) of 18204 and 18222 is 6.

GCF(18204,18222) = 6

We will now calculate the prime factors of 18204 and 18222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18204 and 18222.

How to find the GCF of 18204 and 18222?

We will first find the prime factorization of 18204 and 18222. After we will calculate the factors of 18204 and 18222 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 18222

Prime factors of 18222 are 2, 3, 3037. Prime factorization of 18222 in exponential form is:

18222 = 2¹ × 3¹ × 3037¹

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 18222

List of positive integer factors of 18222 that divides 18204 without a remainder.

1, 2, 3, 6, 3037, 6074, 9111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18204 and 18222. The biggest common factor number is the GCF number.
So the greatest common factor 18204 and 18222 is 6.

Also check out the Least Common Multiple of 18204 and 18222