What is the Greatest Common Factor of 16335 and 16345?

Greatest common factor (GCF) of 16335 and 16345 is 5.

GCF(16335,16345) = 5

We will now calculate the prime factors of 16335 and 16345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16335 and 16345.

How to find the GCF of 16335 and 16345?

We will first find the prime factorization of 16335 and 16345. After we will calculate the factors of 16335 and 16345 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 16345

Prime factors of 16345 are 5, 7, 467. Prime factorization of 16345 in exponential form is:

16345 = 5¹ × 7¹ × 467¹

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 16345

List of positive integer factors of 16345 that divides 16335 without a remainder.

1, 5, 7, 35, 467, 2335, 3269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16335 and 16345. The biggest common factor number is the GCF number.
So the greatest common factor 16335 and 16345 is 5.

Also check out the Least Common Multiple of 16335 and 16345