What is the Greatest Common Factor of 16830 and 16838?

Greatest common factor (GCF) of 16830 and 16838 is 2.

GCF(16830,16838) = 2

We will now calculate the prime factors of 16830 and 16838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16830 and 16838.

How to find the GCF of 16830 and 16838?

We will first find the prime factorization of 16830 and 16838. After we will calculate the factors of 16830 and 16838 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 16838

Prime factors of 16838 are 2, 8419. Prime factorization of 16838 in exponential form is:

16838 = 2¹ × 8419¹

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 16838

List of positive integer factors of 16838 that divides 16830 without a remainder.

1, 2, 8419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16830 and 16838. The biggest common factor number is the GCF number.
So the greatest common factor 16830 and 16838 is 2.

Also check out the Least Common Multiple of 16830 and 16838