What is the Greatest Common Factor of 18189 and 18201?

Greatest common factor (GCF) of 18189 and 18201 is 3.

GCF(18189,18201) = 3

We will now calculate the prime factors of 18189 and 18201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18189 and 18201.

How to find the GCF of 18189 and 18201?

We will first find the prime factorization of 18189 and 18201. After we will calculate the factors of 18189 and 18201 and find the biggest common factor number .

Step-1: Prime Factorization of 18189

Prime factors of 18189 are 3, 43, 47. Prime factorization of 18189 in exponential form is:

18189 = 3² × 43¹ × 47¹

Step-2: Prime Factorization of 18201

Prime factors of 18201 are 3, 6067. Prime factorization of 18201 in exponential form is:

18201 = 3¹ × 6067¹

Step-3: Factors of 18189

List of positive integer factors of 18189 that divides 18189 without a remainder.

1, 3, 9, 43, 47, 129, 141, 387, 423, 2021, 6063

Step-4: Factors of 18201

List of positive integer factors of 18201 that divides 18189 without a remainder.

1, 3, 6067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18189 and 18201. The biggest common factor number is the GCF number.
So the greatest common factor 18189 and 18201 is 3.

Also check out the Least Common Multiple of 18189 and 18201