What is the Greatest Common Factor of 16227 and 16233?

Greatest common factor (GCF) of 16227 and 16233 is 3.

GCF(16227,16233) = 3

We will now calculate the prime factors of 16227 and 16233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16227 and 16233.

How to find the GCF of 16227 and 16233?

We will first find the prime factorization of 16227 and 16233. After we will calculate the factors of 16227 and 16233 and find the biggest common factor number .

Step-1: Prime Factorization of 16227

Prime factors of 16227 are 3, 601. Prime factorization of 16227 in exponential form is:

16227 = 3³ × 601¹

Step-2: Prime Factorization of 16233

Prime factors of 16233 are 3, 7, 773. Prime factorization of 16233 in exponential form is:

16233 = 3¹ × 7¹ × 773¹

Step-3: Factors of 16227

List of positive integer factors of 16227 that divides 16227 without a remainder.

1, 3, 9, 27, 601, 1803, 5409

Step-4: Factors of 16233

List of positive integer factors of 16233 that divides 16227 without a remainder.

1, 3, 7, 21, 773, 2319, 5411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16227 and 16233. The biggest common factor number is the GCF number.
So the greatest common factor 16227 and 16233 is 3.

Also check out the Least Common Multiple of 16227 and 16233