What is the Greatest Common Factor of 16385 and 16390?

Greatest common factor (GCF) of 16385 and 16390 is 5.

GCF(16385,16390) = 5

We will now calculate the prime factors of 16385 and 16390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16385 and 16390.

How to find the GCF of 16385 and 16390?

We will first find the prime factorization of 16385 and 16390. After we will calculate the factors of 16385 and 16390 and find the biggest common factor number .

Step-1: Prime Factorization of 16385

Prime factors of 16385 are 5, 29, 113. Prime factorization of 16385 in exponential form is:

16385 = 5¹ × 29¹ × 113¹

Step-2: 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-3: Factors of 16385

List of positive integer factors of 16385 that divides 16385 without a remainder.

1, 5, 29, 113, 145, 565, 3277

Step-4: Factors of 16390

List of positive integer factors of 16390 that divides 16385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16385 and 16390. The biggest common factor number is the GCF number.
So the greatest common factor 16385 and 16390 is 5.

Also check out the Least Common Multiple of 16385 and 16390