What is the Greatest Common Factor of 18225 and 18238?

Greatest common factor (GCF) of 18225 and 18238 is 1.

GCF(18225,18238) = 1

We will now calculate the prime factors of 18225 and 18238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18225 and 18238.

How to find the GCF of 18225 and 18238?

We will first find the prime factorization of 18225 and 18238. After we will calculate the factors of 18225 and 18238 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 18238

Prime factors of 18238 are 2, 11, 829. Prime factorization of 18238 in exponential form is:

18238 = 2¹ × 11¹ × 829¹

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 18238

List of positive integer factors of 18238 that divides 18225 without a remainder.

1, 2, 11, 22, 829, 1658, 9119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18225 and 18238. The biggest common factor number is the GCF number.
So the greatest common factor 18225 and 18238 is 1.

Also check out the Least Common Multiple of 18225 and 18238