What is the Greatest Common Factor of 16200 and 16215?

Greatest common factor (GCF) of 16200 and 16215 is 15.

GCF(16200,16215) = 15

We will now calculate the prime factors of 16200 and 16215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16200 and 16215.

How to find the GCF of 16200 and 16215?

We will first find the prime factorization of 16200 and 16215. After we will calculate the factors of 16200 and 16215 and find the biggest common factor number .

Step-1: Prime Factorization of 16200

Prime factors of 16200 are 2, 3, 5. Prime factorization of 16200 in exponential form is:

16200 = 2³ × 3⁴ × 5²

Step-2: Prime Factorization of 16215

Prime factors of 16215 are 3, 5, 23, 47. Prime factorization of 16215 in exponential form is:

16215 = 3¹ × 5¹ × 23¹ × 47¹

Step-3: Factors of 16200

List of positive integer factors of 16200 that divides 16200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100

Step-4: Factors of 16215

List of positive integer factors of 16215 that divides 16200 without a remainder.

1, 3, 5, 15, 23, 47, 69, 115, 141, 235, 345, 705, 1081, 3243, 5405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16200 and 16215. The biggest common factor number is the GCF number.
So the greatest common factor 16200 and 16215 is 15.

Also check out the Least Common Multiple of 16200 and 16215