What is the Greatest Common Factor of 16830 and 16845?

Greatest common factor (GCF) of 16830 and 16845 is 15.

GCF(16830,16845) = 15

We will now calculate the prime factors of 16830 and 16845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16830 and 16845.

How to find the GCF of 16830 and 16845?

We will first find the prime factorization of 16830 and 16845. After we will calculate the factors of 16830 and 16845 and find the biggest common factor number .

Step-1: Prime Factorization of 16830

Prime factors of 16830 are 2, 3, 5, 11, 17. Prime factorization of 16830 in exponential form is:

16830 = 2¹ × 3² × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 16845

Prime factors of 16845 are 3, 5, 1123. Prime factorization of 16845 in exponential form is:

16845 = 3¹ × 5¹ × 1123¹

Step-3: Factors of 16830

List of positive integer factors of 16830 that divides 16830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 17, 18, 22, 30, 33, 34, 45, 51, 55, 66, 85, 90, 99, 102, 110, 153, 165, 170, 187, 198, 255, 306, 330, 374, 495, 510, 561, 765, 935, 990, 1122, 1530, 1683, 1870, 2805, 3366, 5610, 8415

Step-4: Factors of 16845

List of positive integer factors of 16845 that divides 16830 without a remainder.

1, 3, 5, 15, 1123, 3369, 5615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16830 and 16845. The biggest common factor number is the GCF number.
So the greatest common factor 16830 and 16845 is 15.

Also check out the Least Common Multiple of 16830 and 16845