What is the Greatest Common Factor of 16299 and 16314?

Greatest common factor (GCF) of 16299 and 16314 is 3.

GCF(16299,16314) = 3

We will now calculate the prime factors of 16299 and 16314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16299 and 16314.

How to find the GCF of 16299 and 16314?

We will first find the prime factorization of 16299 and 16314. After we will calculate the factors of 16299 and 16314 and find the biggest common factor number .

Step-1: Prime Factorization of 16299

Prime factors of 16299 are 3, 1811. Prime factorization of 16299 in exponential form is:

16299 = 3² × 1811¹

Step-2: Prime Factorization of 16314

Prime factors of 16314 are 2, 3, 2719. Prime factorization of 16314 in exponential form is:

16314 = 2¹ × 3¹ × 2719¹

Step-3: Factors of 16299

List of positive integer factors of 16299 that divides 16299 without a remainder.

1, 3, 9, 1811, 5433

Step-4: Factors of 16314

List of positive integer factors of 16314 that divides 16299 without a remainder.

1, 2, 3, 6, 2719, 5438, 8157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16299 and 16314. The biggest common factor number is the GCF number.
So the greatest common factor 16299 and 16314 is 3.

Also check out the Least Common Multiple of 16299 and 16314