What is the Greatest Common Factor of 18227 and 18238?

Greatest common factor (GCF) of 18227 and 18238 is 11.

GCF(18227,18238) = 11

We will now calculate the prime factors of 18227 and 18238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18227 and 18238.

How to find the GCF of 18227 and 18238?

We will first find the prime factorization of 18227 and 18238. After we will calculate the factors of 18227 and 18238 and find the biggest common factor number .

Step-1: Prime Factorization of 18227

Prime factors of 18227 are 11, 1657. Prime factorization of 18227 in exponential form is:

18227 = 11¹ × 1657¹

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 18227

List of positive integer factors of 18227 that divides 18227 without a remainder.

1, 11, 1657

Step-4: Factors of 18238

List of positive integer factors of 18238 that divides 18227 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18227 and 18238. The biggest common factor number is the GCF number.
So the greatest common factor 18227 and 18238 is 11.

Also check out the Least Common Multiple of 18227 and 18238