What is the Greatest Common Factor of 24210 and 24230?

Greatest common factor (GCF) of 24210 and 24230 is 10.

GCF(24210,24230) = 10

We will now calculate the prime factors of 24210 and 24230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24210 and 24230.

How to find the GCF of 24210 and 24230?

We will first find the prime factorization of 24210 and 24230. After we will calculate the factors of 24210 and 24230 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24230

Prime factors of 24230 are 2, 5, 2423. Prime factorization of 24230 in exponential form is:

24230 = 2¹ × 5¹ × 2423¹

Step-3: Factors of 24210

List of positive integer factors of 24210 that divides 24210 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

Step-4: Factors of 24230

List of positive integer factors of 24230 that divides 24210 without a remainder.

1, 2, 5, 10, 2423, 4846, 12115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24210 and 24230. The biggest common factor number is the GCF number.
So the greatest common factor 24210 and 24230 is 10.

Also check out the Least Common Multiple of 24210 and 24230