What is the Greatest Common Factor of 24395 and 24400?

Greatest common factor (GCF) of 24395 and 24400 is 5.

GCF(24395,24400) = 5

We will now calculate the prime factors of 24395 and 24400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24395 and 24400.

How to find the GCF of 24395 and 24400?

We will first find the prime factorization of 24395 and 24400. After we will calculate the factors of 24395 and 24400 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24400

Prime factors of 24400 are 2, 5, 61. Prime factorization of 24400 in exponential form is:

24400 = 2⁴ × 5² × 61¹

Step-3: Factors of 24395

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

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

Step-4: Factors of 24400

List of positive integer factors of 24400 that divides 24395 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 61, 80, 100, 122, 200, 244, 305, 400, 488, 610, 976, 1220, 1525, 2440, 3050, 4880, 6100, 12200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24395 and 24400. The biggest common factor number is the GCF number.
So the greatest common factor 24395 and 24400 is 5.

Also check out the Least Common Multiple of 24395 and 24400