What is the Greatest Common Factor of 18225 and 18231?

Greatest common factor (GCF) of 18225 and 18231 is 3.

GCF(18225,18231) = 3

We will now calculate the prime factors of 18225 and 18231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18225 and 18231.

How to find the GCF of 18225 and 18231?

We will first find the prime factorization of 18225 and 18231. After we will calculate the factors of 18225 and 18231 and find the biggest common factor number .

Step-1: Prime Factorization of 18225

Prime factors of 18225 are 3, 5. Prime factorization of 18225 in exponential form is:

18225 = 3⁶ × 5²

Step-2: Prime Factorization of 18231

Prime factors of 18231 are 3, 59, 103. Prime factorization of 18231 in exponential form is:

18231 = 3¹ × 59¹ × 103¹

Step-3: Factors of 18225

List of positive integer factors of 18225 that divides 18225 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 729, 1215, 2025, 3645, 6075

Step-4: Factors of 18231

List of positive integer factors of 18231 that divides 18225 without a remainder.

1, 3, 59, 103, 177, 309, 6077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18225 and 18231. The biggest common factor number is the GCF number.
So the greatest common factor 18225 and 18231 is 3.

Also check out the Least Common Multiple of 18225 and 18231