What is the Greatest Common Factor of 24800 and 24805?

Greatest common factor (GCF) of 24800 and 24805 is 5.

GCF(24800,24805) = 5

We will now calculate the prime factors of 24800 and 24805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24800 and 24805.

How to find the GCF of 24800 and 24805?

We will first find the prime factorization of 24800 and 24805. After we will calculate the factors of 24800 and 24805 and find the biggest common factor number .

Step-1: Prime Factorization of 24800

Prime factors of 24800 are 2, 5, 31. Prime factorization of 24800 in exponential form is:

24800 = 2⁵ × 5² × 31¹

Step-2: Prime Factorization of 24805

Prime factors of 24805 are 5, 11, 41. Prime factorization of 24805 in exponential form is:

24805 = 5¹ × 11² × 41¹

Step-3: Factors of 24800

List of positive integer factors of 24800 that divides 24800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 80, 100, 124, 155, 160, 200, 248, 310, 400, 496, 620, 775, 800, 992, 1240, 1550, 2480, 3100, 4960, 6200, 12400

Step-4: Factors of 24805

List of positive integer factors of 24805 that divides 24800 without a remainder.

1, 5, 11, 41, 55, 121, 205, 451, 605, 2255, 4961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24800 and 24805. The biggest common factor number is the GCF number.
So the greatest common factor 24800 and 24805 is 5.

Also check out the Least Common Multiple of 24800 and 24805