What is the Greatest Common Factor of 18409 and 18416?

Greatest common factor (GCF) of 18409 and 18416 is 1.

GCF(18409,18416) = 1

We will now calculate the prime factors of 18409 and 18416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18409 and 18416.

How to find the GCF of 18409 and 18416?

We will first find the prime factorization of 18409 and 18416. After we will calculate the factors of 18409 and 18416 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 18416

Prime factors of 18416 are 2, 1151. Prime factorization of 18416 in exponential form is:

18416 = 2⁴ × 1151¹

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 18416

List of positive integer factors of 18416 that divides 18409 without a remainder.

1, 2, 4, 8, 16, 1151, 2302, 4604, 9208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18409 and 18416. The biggest common factor number is the GCF number.
So the greatest common factor 18409 and 18416 is 1.

Also check out the Least Common Multiple of 18409 and 18416