What is the Greatest Common Factor of 16405 and 16417?

Greatest common factor (GCF) of 16405 and 16417 is 1.

GCF(16405,16417) = 1

We will now calculate the prime factors of 16405 and 16417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16405 and 16417.

How to find the GCF of 16405 and 16417?

We will first find the prime factorization of 16405 and 16417. After we will calculate the factors of 16405 and 16417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16417

Prime factors of 16417 are 16417. Prime factorization of 16417 in exponential form is:

16417 = 16417¹

Step-3: Factors of 16405

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

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

Step-4: Factors of 16417

List of positive integer factors of 16417 that divides 16405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16405 and 16417. The biggest common factor number is the GCF number.
So the greatest common factor 16405 and 16417 is 1.

Also check out the Least Common Multiple of 16405 and 16417