What is the Greatest Common Factor of 24378 and 24395?

Greatest common factor (GCF) of 24378 and 24395 is 17.

GCF(24378,24395) = 17

We will now calculate the prime factors of 24378 and 24395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24378 and 24395.

How to find the GCF of 24378 and 24395?

We will first find the prime factorization of 24378 and 24395. After we will calculate the factors of 24378 and 24395 and find the biggest common factor number .

Step-1: Prime Factorization of 24378

Prime factors of 24378 are 2, 3, 17, 239. Prime factorization of 24378 in exponential form is:

24378 = 2¹ × 3¹ × 17¹ × 239¹

Step-2: Prime Factorization of 24395

Prime factors of 24395 are 5, 7, 17, 41. Prime factorization of 24395 in exponential form is:

24395 = 5¹ × 7¹ × 17¹ × 41¹

Step-3: Factors of 24378

List of positive integer factors of 24378 that divides 24378 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 239, 478, 717, 1434, 4063, 8126, 12189

Step-4: Factors of 24395

List of positive integer factors of 24395 that divides 24378 without a remainder.

1, 5, 7, 17, 35, 41, 85, 119, 205, 287, 595, 697, 1435, 3485, 4879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24378 and 24395. The biggest common factor number is the GCF number.
So the greatest common factor 24378 and 24395 is 17.

Also check out the Least Common Multiple of 24378 and 24395