What is the Greatest Common Factor of 18409 and 18415?

Greatest common factor (GCF) of 18409 and 18415 is 1.

GCF(18409,18415) = 1

We will now calculate the prime factors of 18409 and 18415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18409 and 18415.

How to find the GCF of 18409 and 18415?

We will first find the prime factorization of 18409 and 18415. After we will calculate the factors of 18409 and 18415 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 18415

Prime factors of 18415 are 5, 29, 127. Prime factorization of 18415 in exponential form is:

18415 = 5¹ × 29¹ × 127¹

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 18415

List of positive integer factors of 18415 that divides 18409 without a remainder.

1, 5, 29, 127, 145, 635, 3683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18409 and 18415. The biggest common factor number is the GCF number.
So the greatest common factor 18409 and 18415 is 1.

Also check out the Least Common Multiple of 18409 and 18415