What is the Greatest Common Factor of 24200 and 24205?

Greatest common factor (GCF) of 24200 and 24205 is 5.

GCF(24200,24205) = 5

We will now calculate the prime factors of 24200 and 24205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24200 and 24205.

How to find the GCF of 24200 and 24205?

We will first find the prime factorization of 24200 and 24205. After we will calculate the factors of 24200 and 24205 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 24205

Prime factors of 24205 are 5, 47, 103. Prime factorization of 24205 in exponential form is:

24205 = 5¹ × 47¹ × 103¹

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 24205

List of positive integer factors of 24205 that divides 24200 without a remainder.

1, 5, 47, 103, 235, 515, 4841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24200 and 24205. The biggest common factor number is the GCF number.
So the greatest common factor 24200 and 24205 is 5.

Also check out the Least Common Multiple of 24200 and 24205