What is the Greatest Common Factor of 16335 and 16341?

Greatest common factor (GCF) of 16335 and 16341 is 3.

GCF(16335,16341) = 3

We will now calculate the prime factors of 16335 and 16341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16335 and 16341.

How to find the GCF of 16335 and 16341?

We will first find the prime factorization of 16335 and 16341. After we will calculate the factors of 16335 and 16341 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16341

Prime factors of 16341 are 3, 13, 419. Prime factorization of 16341 in exponential form is:

16341 = 3¹ × 13¹ × 419¹

Step-3: Factors of 16335

List of positive integer factors of 16335 that divides 16335 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

Step-4: Factors of 16341

List of positive integer factors of 16341 that divides 16335 without a remainder.

1, 3, 13, 39, 419, 1257, 5447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16335 and 16341. The biggest common factor number is the GCF number.
So the greatest common factor 16335 and 16341 is 3.

Also check out the Least Common Multiple of 16335 and 16341