What is the Greatest Common Factor of 18600 and 18609?

Greatest common factor (GCF) of 18600 and 18609 is 3.

GCF(18600,18609) = 3

We will now calculate the prime factors of 18600 and 18609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18600 and 18609.

How to find the GCF of 18600 and 18609?

We will first find the prime factorization of 18600 and 18609. After we will calculate the factors of 18600 and 18609 and find the biggest common factor number .

Step-1: Prime Factorization of 18600

Prime factors of 18600 are 2, 3, 5, 31. Prime factorization of 18600 in exponential form is:

18600 = 2³ × 3¹ × 5² × 31¹

Step-2: Prime Factorization of 18609

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

18609 = 3¹ × 6203¹

Step-3: Factors of 18600

List of positive integer factors of 18600 that divides 18600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 31, 40, 50, 60, 62, 75, 93, 100, 120, 124, 150, 155, 186, 200, 248, 300, 310, 372, 465, 600, 620, 744, 775, 930, 1240, 1550, 1860, 2325, 3100, 3720, 4650, 6200, 9300

Step-4: Factors of 18609

List of positive integer factors of 18609 that divides 18600 without a remainder.

1, 3, 6203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18600 and 18609. The biggest common factor number is the GCF number.
So the greatest common factor 18600 and 18609 is 3.

Also check out the Least Common Multiple of 18600 and 18609