What is the Greatest Common Factor of 24200 and 24211?

Greatest common factor (GCF) of 24200 and 24211 is 11.

GCF(24200,24211) = 11

We will now calculate the prime factors of 24200 and 24211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24200 and 24211.

How to find the GCF of 24200 and 24211?

We will first find the prime factorization of 24200 and 24211. After we will calculate the factors of 24200 and 24211 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 24211

Prime factors of 24211 are 11, 31, 71. Prime factorization of 24211 in exponential form is:

24211 = 11¹ × 31¹ × 71¹

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 24211

List of positive integer factors of 24211 that divides 24200 without a remainder.

1, 11, 31, 71, 341, 781, 2201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24200 and 24211. The biggest common factor number is the GCF number.
So the greatest common factor 24200 and 24211 is 11.

Also check out the Least Common Multiple of 24200 and 24211