What is the Greatest Common Factor of 24200 and 24213?

Greatest common factor (GCF) of 24200 and 24213 is 1.

GCF(24200,24213) = 1

We will now calculate the prime factors of 24200 and 24213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24200 and 24213.

How to find the GCF of 24200 and 24213?

We will first find the prime factorization of 24200 and 24213. After we will calculate the factors of 24200 and 24213 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 24213

Prime factors of 24213 are 3, 7, 1153. Prime factorization of 24213 in exponential form is:

24213 = 3¹ × 7¹ × 1153¹

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 24213

List of positive integer factors of 24213 that divides 24200 without a remainder.

1, 3, 7, 21, 1153, 3459, 8071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24200 and 24213. The biggest common factor number is the GCF number.
So the greatest common factor 24200 and 24213 is 1.

Also check out the Least Common Multiple of 24200 and 24213