What is the Greatest Common Factor of 16233 and 16248?

Greatest common factor (GCF) of 16233 and 16248 is 3.

GCF(16233,16248) = 3

We will now calculate the prime factors of 16233 and 16248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16233 and 16248.

How to find the GCF of 16233 and 16248?

We will first find the prime factorization of 16233 and 16248. After we will calculate the factors of 16233 and 16248 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16248

Prime factors of 16248 are 2, 3, 677. Prime factorization of 16248 in exponential form is:

16248 = 2³ × 3¹ × 677¹

Step-3: Factors of 16233

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

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

Step-4: Factors of 16248

List of positive integer factors of 16248 that divides 16233 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 677, 1354, 2031, 2708, 4062, 5416, 8124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16233 and 16248. The biggest common factor number is the GCF number.
So the greatest common factor 16233 and 16248 is 3.

Also check out the Least Common Multiple of 16233 and 16248