What is the Greatest Common Factor of 18609 and 18618?

Greatest common factor (GCF) of 18609 and 18618 is 3.

GCF(18609,18618) = 3

We will now calculate the prime factors of 18609 and 18618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18609 and 18618.

How to find the GCF of 18609 and 18618?

We will first find the prime factorization of 18609 and 18618. After we will calculate the factors of 18609 and 18618 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 18618

Prime factors of 18618 are 2, 3, 29, 107. Prime factorization of 18618 in exponential form is:

18618 = 2¹ × 3¹ × 29¹ × 107¹

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 18618

List of positive integer factors of 18618 that divides 18609 without a remainder.

1, 2, 3, 6, 29, 58, 87, 107, 174, 214, 321, 642, 3103, 6206, 9309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18609 and 18618. The biggest common factor number is the GCF number.
So the greatest common factor 18609 and 18618 is 3.

Also check out the Least Common Multiple of 18609 and 18618