What is the Greatest Common Factor of 18609 and 18625?

Greatest common factor (GCF) of 18609 and 18625 is 1.

GCF(18609,18625) = 1

We will now calculate the prime factors of 18609 and 18625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18609 and 18625.

How to find the GCF of 18609 and 18625?

We will first find the prime factorization of 18609 and 18625. After we will calculate the factors of 18609 and 18625 and find the biggest common factor number .

Step-1: Prime Factorization of 18609

Prime factors of 18609 are 3, 6203. Prime factorization of 18609 in exponential form is:

18609 = 3¹ × 6203¹

Step-2: Prime Factorization of 18625

Prime factors of 18625 are 5, 149. Prime factorization of 18625 in exponential form is:

18625 = 5³ × 149¹

Step-3: Factors of 18609

List of positive integer factors of 18609 that divides 18609 without a remainder.

1, 3, 6203

Step-4: Factors of 18625

List of positive integer factors of 18625 that divides 18609 without a remainder.

1, 5, 25, 125, 149, 745, 3725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18609 and 18625. The biggest common factor number is the GCF number.
So the greatest common factor 18609 and 18625 is 1.

Also check out the Least Common Multiple of 18609 and 18625