What is the Greatest Common Factor of 24180 and 24186?

Greatest common factor (GCF) of 24180 and 24186 is 6.

GCF(24180,24186) = 6

We will now calculate the prime factors of 24180 and 24186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24180 and 24186.

How to find the GCF of 24180 and 24186?

We will first find the prime factorization of 24180 and 24186. After we will calculate the factors of 24180 and 24186 and find the biggest common factor number .

Step-1: Prime Factorization of 24180

Prime factors of 24180 are 2, 3, 5, 13, 31. Prime factorization of 24180 in exponential form is:

24180 = 2² × 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 24186

Prime factors of 24186 are 2, 3, 29, 139. Prime factorization of 24186 in exponential form is:

24186 = 2¹ × 3¹ × 29¹ × 139¹

Step-3: Factors of 24180

List of positive integer factors of 24180 that divides 24180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 31, 39, 52, 60, 62, 65, 78, 93, 124, 130, 155, 156, 186, 195, 260, 310, 372, 390, 403, 465, 620, 780, 806, 930, 1209, 1612, 1860, 2015, 2418, 4030, 4836, 6045, 8060, 12090

Step-4: Factors of 24186

List of positive integer factors of 24186 that divides 24180 without a remainder.

1, 2, 3, 6, 29, 58, 87, 139, 174, 278, 417, 834, 4031, 8062, 12093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24180 and 24186. The biggest common factor number is the GCF number.
So the greatest common factor 24180 and 24186 is 6.

Also check out the Least Common Multiple of 24180 and 24186