What is the Greatest Common Factor of 24200 and 24219?

Greatest common factor (GCF) of 24200 and 24219 is 1.

GCF(24200,24219) = 1

We will now calculate the prime factors of 24200 and 24219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24200 and 24219.

How to find the GCF of 24200 and 24219?

We will first find the prime factorization of 24200 and 24219. After we will calculate the factors of 24200 and 24219 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24219

Prime factors of 24219 are 3, 13, 23. Prime factorization of 24219 in exponential form is:

24219 = 3⁴ × 13¹ × 23¹

Step-3: Factors of 24200

List of positive integer factors of 24200 that divides 24200 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

Step-4: Factors of 24219

List of positive integer factors of 24219 that divides 24200 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 81, 117, 207, 299, 351, 621, 897, 1053, 1863, 2691, 8073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24200 and 24219. The biggest common factor number is the GCF number.
So the greatest common factor 24200 and 24219 is 1.

Also check out the Least Common Multiple of 24200 and 24219