What is the Greatest Common Factor of 24380 and 24394?

Greatest common factor (GCF) of 24380 and 24394 is 2.

GCF(24380,24394) = 2

We will now calculate the prime factors of 24380 and 24394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24380 and 24394.

How to find the GCF of 24380 and 24394?

We will first find the prime factorization of 24380 and 24394. After we will calculate the factors of 24380 and 24394 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 24394

Prime factors of 24394 are 2, 12197. Prime factorization of 24394 in exponential form is:

24394 = 2¹ × 12197¹

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 24394

List of positive integer factors of 24394 that divides 24380 without a remainder.

1, 2, 12197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24380 and 24394. The biggest common factor number is the GCF number.
So the greatest common factor 24380 and 24394 is 2.

Also check out the Least Common Multiple of 24380 and 24394