What is the Greatest Common Factor of 18409 and 18425?

Greatest common factor (GCF) of 18409 and 18425 is 1.

GCF(18409,18425) = 1

We will now calculate the prime factors of 18409 and 18425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18409 and 18425.

How to find the GCF of 18409 and 18425?

We will first find the prime factorization of 18409 and 18425. After we will calculate the factors of 18409 and 18425 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 18425

Prime factors of 18425 are 5, 11, 67. Prime factorization of 18425 in exponential form is:

18425 = 5² × 11¹ × 67¹

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 18425

List of positive integer factors of 18425 that divides 18409 without a remainder.

1, 5, 11, 25, 55, 67, 275, 335, 737, 1675, 3685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18409 and 18425. The biggest common factor number is the GCF number.
So the greatest common factor 18409 and 18425 is 1.

Also check out the Least Common Multiple of 18409 and 18425