What is the Greatest Common Factor of 18233 and 18238?

Greatest common factor (GCF) of 18233 and 18238 is 1.

GCF(18233,18238) = 1

We will now calculate the prime factors of 18233 and 18238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18233 and 18238.

How to find the GCF of 18233 and 18238?

We will first find the prime factorization of 18233 and 18238. After we will calculate the factors of 18233 and 18238 and find the biggest common factor number .

Step-1: Prime Factorization of 18233

Prime factors of 18233 are 18233. Prime factorization of 18233 in exponential form is:

18233 = 18233¹

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 18233

List of positive integer factors of 18233 that divides 18233 without a remainder.

Step-4: Factors of 18238

List of positive integer factors of 18238 that divides 18233 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18233 and 18238. The biggest common factor number is the GCF number.
So the greatest common factor 18233 and 18238 is 1.

Also check out the Least Common Multiple of 18233 and 18238