What is the Greatest Common Factor of 24186 and 24200?

Greatest common factor (GCF) of 24186 and 24200 is 2.

GCF(24186,24200) = 2

We will now calculate the prime factors of 24186 and 24200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24186 and 24200.

How to find the GCF of 24186 and 24200?

We will first find the prime factorization of 24186 and 24200. After we will calculate the factors of 24186 and 24200 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24200

Prime factors of 24200 are 2, 5, 11. Prime factorization of 24200 in exponential form is:

24200 = 2³ × 5² × 11²

Step-3: Factors of 24186

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

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

Step-4: Factors of 24200

List of positive integer factors of 24200 that divides 24186 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 121, 200, 220, 242, 275, 440, 484, 550, 605, 968, 1100, 1210, 2200, 2420, 3025, 4840, 6050, 12100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24186 and 24200. The biggest common factor number is the GCF number.
So the greatest common factor 24186 and 24200 is 2.

Also check out the Least Common Multiple of 24186 and 24200