What is the Greatest Common Factor of 18216 and 18227?

Greatest common factor (GCF) of 18216 and 18227 is 11.

GCF(18216,18227) = 11

We will now calculate the prime factors of 18216 and 18227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18216 and 18227.

How to find the GCF of 18216 and 18227?

We will first find the prime factorization of 18216 and 18227. After we will calculate the factors of 18216 and 18227 and find the biggest common factor number .

Step-1: Prime Factorization of 18216

Prime factors of 18216 are 2, 3, 11, 23. Prime factorization of 18216 in exponential form is:

18216 = 2³ × 3² × 11¹ × 23¹

Step-2: Prime Factorization of 18227

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

18227 = 11¹ × 1657¹

Step-3: Factors of 18216

List of positive integer factors of 18216 that divides 18216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 33, 36, 44, 46, 66, 69, 72, 88, 92, 99, 132, 138, 184, 198, 207, 253, 264, 276, 396, 414, 506, 552, 759, 792, 828, 1012, 1518, 1656, 2024, 2277, 3036, 4554, 6072, 9108

Step-4: Factors of 18227

List of positive integer factors of 18227 that divides 18216 without a remainder.

1, 11, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18216 and 18227. The biggest common factor number is the GCF number.
So the greatest common factor 18216 and 18227 is 11.

Also check out the Least Common Multiple of 18216 and 18227