What is the Greatest Common Factor of 16819 and 16830?

Greatest common factor (GCF) of 16819 and 16830 is 11.

GCF(16819,16830) = 11

We will now calculate the prime factors of 16819 and 16830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16819 and 16830.

How to find the GCF of 16819 and 16830?

We will first find the prime factorization of 16819 and 16830. After we will calculate the factors of 16819 and 16830 and find the biggest common factor number .

Step-1: Prime Factorization of 16819

Prime factors of 16819 are 11, 139. Prime factorization of 16819 in exponential form is:

16819 = 11² × 139¹

Step-2: 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-3: Factors of 16819

List of positive integer factors of 16819 that divides 16819 without a remainder.

1, 11, 121, 139, 1529

Step-4: Factors of 16830

List of positive integer factors of 16830 that divides 16819 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16819 and 16830. The biggest common factor number is the GCF number.
So the greatest common factor 16819 and 16830 is 11.

Also check out the Least Common Multiple of 16819 and 16830