What is the Greatest Common Factor of 16320 and 16335?

Greatest common factor (GCF) of 16320 and 16335 is 15.

GCF(16320,16335) = 15

We will now calculate the prime factors of 16320 and 16335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16335.

How to find the GCF of 16320 and 16335?

We will first find the prime factorization of 16320 and 16335. After we will calculate the factors of 16320 and 16335 and find the biggest common factor number .

Step-1: Prime Factorization of 16320

Prime factors of 16320 are 2, 3, 5, 17. Prime factorization of 16320 in exponential form is:

16320 = 2⁶ × 3¹ × 5¹ × 17¹

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 16320

List of positive integer factors of 16320 that divides 16320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 64, 68, 80, 85, 96, 102, 120, 136, 160, 170, 192, 204, 240, 255, 272, 320, 340, 408, 480, 510, 544, 680, 816, 960, 1020, 1088, 1360, 1632, 2040, 2720, 3264, 4080, 5440, 8160

Step-4: Factors of 16335

List of positive integer factors of 16335 that divides 16320 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 16320 and 16335. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16335 is 15.

Also check out the Least Common Multiple of 16320 and 16335