What is the Greatest Common Factor of 18409 and 18413?

Greatest common factor (GCF) of 18409 and 18413 is 1.

GCF(18409,18413) = 1

We will now calculate the prime factors of 18409 and 18413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18409 and 18413.

How to find the GCF of 18409 and 18413?

We will first find the prime factorization of 18409 and 18413. After we will calculate the factors of 18409 and 18413 and find the biggest common factor number .

Step-1: Prime Factorization of 18409

Prime factors of 18409 are 41, 449. Prime factorization of 18409 in exponential form is:

18409 = 41¹ × 449¹

Step-2: Prime Factorization of 18413

Prime factors of 18413 are 18413. Prime factorization of 18413 in exponential form is:

18413 = 18413¹

Step-3: Factors of 18409

List of positive integer factors of 18409 that divides 18409 without a remainder.

1, 41, 449

Step-4: Factors of 18413

List of positive integer factors of 18413 that divides 18409 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18409 and 18413. The biggest common factor number is the GCF number.
So the greatest common factor 18409 and 18413 is 1.

Also check out the Least Common Multiple of 18409 and 18413