What is the Greatest Common Factor of 16830 and 16841?

Greatest common factor (GCF) of 16830 and 16841 is 11.

GCF(16830,16841) = 11

We will now calculate the prime factors of 16830 and 16841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16830 and 16841.

How to find the GCF of 16830 and 16841?

We will first find the prime factorization of 16830 and 16841. After we will calculate the factors of 16830 and 16841 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 16841

Prime factors of 16841 are 11, 1531. Prime factorization of 16841 in exponential form is:

16841 = 11¹ × 1531¹

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 16841

List of positive integer factors of 16841 that divides 16830 without a remainder.

1, 11, 1531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16830 and 16841. The biggest common factor number is the GCF number.
So the greatest common factor 16830 and 16841 is 11.

Also check out the Least Common Multiple of 16830 and 16841