What is the Greatest Common Factor of 16830 and 16839?

Greatest common factor (GCF) of 16830 and 16839 is 9.

GCF(16830,16839) = 9

We will now calculate the prime factors of 16830 and 16839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16830 and 16839.

How to find the GCF of 16830 and 16839?

We will first find the prime factorization of 16830 and 16839. After we will calculate the factors of 16830 and 16839 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 16839

Prime factors of 16839 are 3, 1871. Prime factorization of 16839 in exponential form is:

16839 = 3² × 1871¹

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 16839

List of positive integer factors of 16839 that divides 16830 without a remainder.

1, 3, 9, 1871, 5613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16830 and 16839. The biggest common factor number is the GCF number.
So the greatest common factor 16830 and 16839 is 9.

Also check out the Least Common Multiple of 16830 and 16839