What is the Greatest Common Factor of 24784 and 24800?

Greatest common factor (GCF) of 24784 and 24800 is 16.

GCF(24784,24800) = 16

We will now calculate the prime factors of 24784 and 24800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24784 and 24800.

How to find the GCF of 24784 and 24800?

We will first find the prime factorization of 24784 and 24800. After we will calculate the factors of 24784 and 24800 and find the biggest common factor number .

Step-1: Prime Factorization of 24784

Prime factors of 24784 are 2, 1549. Prime factorization of 24784 in exponential form is:

24784 = 2⁴ × 1549¹

Step-2: 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-3: Factors of 24784

List of positive integer factors of 24784 that divides 24784 without a remainder.

1, 2, 4, 8, 16, 1549, 3098, 6196, 12392

Step-4: Factors of 24800

List of positive integer factors of 24800 that divides 24784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24784 and 24800. The biggest common factor number is the GCF number.
So the greatest common factor 24784 and 24800 is 16.

Also check out the Least Common Multiple of 24784 and 24800