What is the Greatest Common Factor of 24230 and 24235?

Greatest common factor (GCF) of 24230 and 24235 is 5.

GCF(24230,24235) = 5

We will now calculate the prime factors of 24230 and 24235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24230 and 24235.

How to find the GCF of 24230 and 24235?

We will first find the prime factorization of 24230 and 24235. After we will calculate the factors of 24230 and 24235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24235

Prime factors of 24235 are 5, 37, 131. Prime factorization of 24235 in exponential form is:

24235 = 5¹ × 37¹ × 131¹

Step-3: Factors of 24230

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

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

Step-4: Factors of 24235

List of positive integer factors of 24235 that divides 24230 without a remainder.

1, 5, 37, 131, 185, 655, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24230 and 24235. The biggest common factor number is the GCF number.
So the greatest common factor 24230 and 24235 is 5.

Also check out the Least Common Multiple of 24230 and 24235