What is the Greatest Common Factor of 16229 and 16248?

Greatest common factor (GCF) of 16229 and 16248 is 1.

GCF(16229,16248) = 1

We will now calculate the prime factors of 16229 and 16248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16229 and 16248.

How to find the GCF of 16229 and 16248?

We will first find the prime factorization of 16229 and 16248. After we will calculate the factors of 16229 and 16248 and find the biggest common factor number .

Step-1: Prime Factorization of 16229

Prime factors of 16229 are 16229. Prime factorization of 16229 in exponential form is:

16229 = 16229¹

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 16229

List of positive integer factors of 16229 that divides 16229 without a remainder.

Step-4: Factors of 16248

List of positive integer factors of 16248 that divides 16229 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 16229 and 16248. The biggest common factor number is the GCF number.
So the greatest common factor 16229 and 16248 is 1.

Also check out the Least Common Multiple of 16229 and 16248