What is the Greatest Common Factor of 16332 and 16347?

Greatest common factor (GCF) of 16332 and 16347 is 3.

GCF(16332,16347) = 3

We will now calculate the prime factors of 16332 and 16347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16332 and 16347.

How to find the GCF of 16332 and 16347?

We will first find the prime factorization of 16332 and 16347. After we will calculate the factors of 16332 and 16347 and find the biggest common factor number .

Step-1: Prime Factorization of 16332

Prime factors of 16332 are 2, 3, 1361. Prime factorization of 16332 in exponential form is:

16332 = 2² × 3¹ × 1361¹

Step-2: Prime Factorization of 16347

Prime factors of 16347 are 3, 5449. Prime factorization of 16347 in exponential form is:

16347 = 3¹ × 5449¹

Step-3: Factors of 16332

List of positive integer factors of 16332 that divides 16332 without a remainder.

1, 2, 3, 4, 6, 12, 1361, 2722, 4083, 5444, 8166

Step-4: Factors of 16347

List of positive integer factors of 16347 that divides 16332 without a remainder.

1, 3, 5449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16332 and 16347. The biggest common factor number is the GCF number.
So the greatest common factor 16332 and 16347 is 3.

Also check out the Least Common Multiple of 16332 and 16347