What is the Greatest Common Factor of 24200 and 24210?

Greatest common factor (GCF) of 24200 and 24210 is 10.

GCF(24200,24210) = 10

We will now calculate the prime factors of 24200 and 24210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24200 and 24210.

How to find the GCF of 24200 and 24210?

We will first find the prime factorization of 24200 and 24210. After we will calculate the factors of 24200 and 24210 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 24210

Prime factors of 24210 are 2, 3, 5, 269. Prime factorization of 24210 in exponential form is:

24210 = 2¹ × 3² × 5¹ × 269¹

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 24210

List of positive integer factors of 24210 that divides 24200 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 269, 538, 807, 1345, 1614, 2421, 2690, 4035, 4842, 8070, 12105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24200 and 24210. The biggest common factor number is the GCF number.
So the greatest common factor 24200 and 24210 is 10.

Also check out the Least Common Multiple of 24200 and 24210