What is the Greatest Common Factor of 16485 and 16500?

Greatest common factor (GCF) of 16485 and 16500 is 15.

GCF(16485,16500) = 15

We will now calculate the prime factors of 16485 and 16500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16485 and 16500.

How to find the GCF of 16485 and 16500?

We will first find the prime factorization of 16485 and 16500. After we will calculate the factors of 16485 and 16500 and find the biggest common factor number .

Step-1: Prime Factorization of 16485

Prime factors of 16485 are 3, 5, 7, 157. Prime factorization of 16485 in exponential form is:

16485 = 3¹ × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 16500

Prime factors of 16500 are 2, 3, 5, 11. Prime factorization of 16500 in exponential form is:

16500 = 2² × 3¹ × 5³ × 11¹

Step-3: Factors of 16485

List of positive integer factors of 16485 that divides 16485 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 157, 471, 785, 1099, 2355, 3297, 5495

Step-4: Factors of 16500

List of positive integer factors of 16500 that divides 16485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 125, 132, 150, 165, 220, 250, 275, 300, 330, 375, 500, 550, 660, 750, 825, 1100, 1375, 1500, 1650, 2750, 3300, 4125, 5500, 8250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16485 and 16500. The biggest common factor number is the GCF number.
So the greatest common factor 16485 and 16500 is 15.

Also check out the Least Common Multiple of 16485 and 16500