What is the Greatest Common Factor of 18609 and 18627?

Greatest common factor (GCF) of 18609 and 18627 is 3.

GCF(18609,18627) = 3

We will now calculate the prime factors of 18609 and 18627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18609 and 18627.

How to find the GCF of 18609 and 18627?

We will first find the prime factorization of 18609 and 18627. After we will calculate the factors of 18609 and 18627 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 18627

Prime factors of 18627 are 3, 7, 887. Prime factorization of 18627 in exponential form is:

18627 = 3¹ × 7¹ × 887¹

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 18627

List of positive integer factors of 18627 that divides 18609 without a remainder.

1, 3, 7, 21, 887, 2661, 6209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18609 and 18627. The biggest common factor number is the GCF number.
So the greatest common factor 18609 and 18627 is 3.

Also check out the Least Common Multiple of 18609 and 18627