What is the Greatest Common Factor of 18204 and 18212?

Greatest common factor (GCF) of 18204 and 18212 is 4.

GCF(18204,18212) = 4

We will now calculate the prime factors of 18204 and 18212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18204 and 18212.

How to find the GCF of 18204 and 18212?

We will first find the prime factorization of 18204 and 18212. After we will calculate the factors of 18204 and 18212 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 18212

Prime factors of 18212 are 2, 29, 157. Prime factorization of 18212 in exponential form is:

18212 = 2² × 29¹ × 157¹

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 18212

List of positive integer factors of 18212 that divides 18204 without a remainder.

1, 2, 4, 29, 58, 116, 157, 314, 628, 4553, 9106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18204 and 18212. The biggest common factor number is the GCF number.
So the greatest common factor 18204 and 18212 is 4.

Also check out the Least Common Multiple of 18204 and 18212