What is the Greatest Common Factor of 24380 and 24385?

Greatest common factor (GCF) of 24380 and 24385 is 5.

GCF(24380,24385) = 5

We will now calculate the prime factors of 24380 and 24385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24380 and 24385.

How to find the GCF of 24380 and 24385?

We will first find the prime factorization of 24380 and 24385. After we will calculate the factors of 24380 and 24385 and find the biggest common factor number .

Step-1: Prime Factorization of 24380

Prime factors of 24380 are 2, 5, 23, 53. Prime factorization of 24380 in exponential form is:

24380 = 2² × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 24385

Prime factors of 24385 are 5, 4877. Prime factorization of 24385 in exponential form is:

24385 = 5¹ × 4877¹

Step-3: Factors of 24380

List of positive integer factors of 24380 that divides 24380 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 53, 92, 106, 115, 212, 230, 265, 460, 530, 1060, 1219, 2438, 4876, 6095, 12190

Step-4: Factors of 24385

List of positive integer factors of 24385 that divides 24380 without a remainder.

1, 5, 4877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24380 and 24385. The biggest common factor number is the GCF number.
So the greatest common factor 24380 and 24385 is 5.

Also check out the Least Common Multiple of 24380 and 24385