What is the Greatest Common Factor of 16390 and 16410?

Greatest common factor (GCF) of 16390 and 16410 is 10.

GCF(16390,16410) = 10

We will now calculate the prime factors of 16390 and 16410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16390 and 16410.

How to find the GCF of 16390 and 16410?

We will first find the prime factorization of 16390 and 16410. After we will calculate the factors of 16390 and 16410 and find the biggest common factor number .

Step-1: Prime Factorization of 16390

Prime factors of 16390 are 2, 5, 11, 149. Prime factorization of 16390 in exponential form is:

16390 = 2¹ × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 16410

Prime factors of 16410 are 2, 3, 5, 547. Prime factorization of 16410 in exponential form is:

16410 = 2¹ × 3¹ × 5¹ × 547¹

Step-3: Factors of 16390

List of positive integer factors of 16390 that divides 16390 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 149, 298, 745, 1490, 1639, 3278, 8195

Step-4: Factors of 16410

List of positive integer factors of 16410 that divides 16390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 547, 1094, 1641, 2735, 3282, 5470, 8205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16390 and 16410. The biggest common factor number is the GCF number.
So the greatest common factor 16390 and 16410 is 10.

Also check out the Least Common Multiple of 16390 and 16410