What is the Greatest Common Factor of 16329 and 16335?

Greatest common factor (GCF) of 16329 and 16335 is 3.

GCF(16329,16335) = 3

We will now calculate the prime factors of 16329 and 16335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16329 and 16335.

How to find the GCF of 16329 and 16335?

We will first find the prime factorization of 16329 and 16335. After we will calculate the factors of 16329 and 16335 and find the biggest common factor number .

Step-1: Prime Factorization of 16329

Prime factors of 16329 are 3, 5443. Prime factorization of 16329 in exponential form is:

16329 = 3¹ × 5443¹

Step-2: Prime Factorization of 16335

Prime factors of 16335 are 3, 5, 11. Prime factorization of 16335 in exponential form is:

16335 = 3³ × 5¹ × 11²

Step-3: Factors of 16329

List of positive integer factors of 16329 that divides 16329 without a remainder.

1, 3, 5443

Step-4: Factors of 16335

List of positive integer factors of 16335 that divides 16329 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 121, 135, 165, 297, 363, 495, 605, 1089, 1485, 1815, 3267, 5445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16329 and 16335. The biggest common factor number is the GCF number.
So the greatest common factor 16329 and 16335 is 3.

Also check out the Least Common Multiple of 16329 and 16335