What is the Greatest Common Factor of 16409 and 16417?

Greatest common factor (GCF) of 16409 and 16417 is 1.

GCF(16409,16417) = 1

We will now calculate the prime factors of 16409 and 16417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16409 and 16417.

How to find the GCF of 16409 and 16417?

We will first find the prime factorization of 16409 and 16417. After we will calculate the factors of 16409 and 16417 and find the biggest common factor number .

Step-1: Prime Factorization of 16409

Prime factors of 16409 are 61, 269. Prime factorization of 16409 in exponential form is:

16409 = 61¹ × 269¹

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 16409

List of positive integer factors of 16409 that divides 16409 without a remainder.

1, 61, 269

Step-4: Factors of 16417

List of positive integer factors of 16417 that divides 16409 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16409 and 16417. The biggest common factor number is the GCF number.
So the greatest common factor 16409 and 16417 is 1.

Also check out the Least Common Multiple of 16409 and 16417