What is the Greatest Common Factor of 16814 and 16830?

Greatest common factor (GCF) of 16814 and 16830 is 2.

GCF(16814,16830) = 2

We will now calculate the prime factors of 16814 and 16830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16814 and 16830.

How to find the GCF of 16814 and 16830?

We will first find the prime factorization of 16814 and 16830. After we will calculate the factors of 16814 and 16830 and find the biggest common factor number .

Step-1: Prime Factorization of 16814

Prime factors of 16814 are 2, 7, 1201. Prime factorization of 16814 in exponential form is:

16814 = 2¹ × 7¹ × 1201¹

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 16814

List of positive integer factors of 16814 that divides 16814 without a remainder.

1, 2, 7, 14, 1201, 2402, 8407

Step-4: Factors of 16830

List of positive integer factors of 16830 that divides 16814 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 16814 and 16830. The biggest common factor number is the GCF number.
So the greatest common factor 16814 and 16830 is 2.

Also check out the Least Common Multiple of 16814 and 16830