What is the Greatest Common Factor of 24784 and 24799?

Greatest common factor (GCF) of 24784 and 24799 is 1.

GCF(24784,24799) = 1

We will now calculate the prime factors of 24784 and 24799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24784 and 24799.

How to find the GCF of 24784 and 24799?

We will first find the prime factorization of 24784 and 24799. After we will calculate the factors of 24784 and 24799 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 24799

Prime factors of 24799 are 24799. Prime factorization of 24799 in exponential form is:

24799 = 24799¹

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 24799

List of positive integer factors of 24799 that divides 24784 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24784 and 24799. The biggest common factor number is the GCF number.
So the greatest common factor 24784 and 24799 is 1.

Also check out the Least Common Multiple of 24784 and 24799