What is the Greatest Common Factor of 24189 and 24200?

Greatest common factor (GCF) of 24189 and 24200 is 11.

GCF(24189,24200) = 11

We will now calculate the prime factors of 24189 and 24200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24189 and 24200.

How to find the GCF of 24189 and 24200?

We will first find the prime factorization of 24189 and 24200. After we will calculate the factors of 24189 and 24200 and find the biggest common factor number .

Step-1: Prime Factorization of 24189

Prime factors of 24189 are 3, 11, 733. Prime factorization of 24189 in exponential form is:

24189 = 3¹ × 11¹ × 733¹

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 24189

List of positive integer factors of 24189 that divides 24189 without a remainder.

1, 3, 11, 33, 733, 2199, 8063

Step-4: Factors of 24200

List of positive integer factors of 24200 that divides 24189 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 24189 and 24200. The biggest common factor number is the GCF number.
So the greatest common factor 24189 and 24200 is 11.

Also check out the Least Common Multiple of 24189 and 24200