What is the Greatest Common Factor of 16385 and 16405?

Greatest common factor (GCF) of 16385 and 16405 is 5.

GCF(16385,16405) = 5

We will now calculate the prime factors of 16385 and 16405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16385 and 16405.

How to find the GCF of 16385 and 16405?

We will first find the prime factorization of 16385 and 16405. After we will calculate the factors of 16385 and 16405 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 16405

Prime factors of 16405 are 5, 17, 193. Prime factorization of 16405 in exponential form is:

16405 = 5¹ × 17¹ × 193¹

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 16405

List of positive integer factors of 16405 that divides 16385 without a remainder.

1, 5, 17, 85, 193, 965, 3281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16385 and 16405. The biggest common factor number is the GCF number.
So the greatest common factor 16385 and 16405 is 5.

Also check out the Least Common Multiple of 16385 and 16405