What is the Greatest Common Factor of 16500 and 16511?

Greatest common factor (GCF) of 16500 and 16511 is 11.

GCF(16500,16511) = 11

We will now calculate the prime factors of 16500 and 16511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16500 and 16511.

How to find the GCF of 16500 and 16511?

We will first find the prime factorization of 16500 and 16511. After we will calculate the factors of 16500 and 16511 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16511

Prime factors of 16511 are 11, 19, 79. Prime factorization of 16511 in exponential form is:

16511 = 11¹ × 19¹ × 79¹

Step-3: Factors of 16500

List of positive integer factors of 16500 that divides 16500 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

Step-4: Factors of 16511

List of positive integer factors of 16511 that divides 16500 without a remainder.

1, 11, 19, 79, 209, 869, 1501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16500 and 16511. The biggest common factor number is the GCF number.
So the greatest common factor 16500 and 16511 is 11.

Also check out the Least Common Multiple of 16500 and 16511