What is the Greatest Common Factor of 24769 and 24784?

Greatest common factor (GCF) of 24769 and 24784 is 1.

GCF(24769,24784) = 1

We will now calculate the prime factors of 24769 and 24784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24769 and 24784.

How to find the GCF of 24769 and 24784?

We will first find the prime factorization of 24769 and 24784. After we will calculate the factors of 24769 and 24784 and find the biggest common factor number .

Step-1: Prime Factorization of 24769

Prime factors of 24769 are 17, 31, 47. Prime factorization of 24769 in exponential form is:

24769 = 17¹ × 31¹ × 47¹

Step-2: Prime Factorization of 24784

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

24784 = 2⁴ × 1549¹

Step-3: Factors of 24769

List of positive integer factors of 24769 that divides 24769 without a remainder.

1, 17, 31, 47, 527, 799, 1457

Step-4: Factors of 24784

List of positive integer factors of 24784 that divides 24769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24769 and 24784. The biggest common factor number is the GCF number.
So the greatest common factor 24769 and 24784 is 1.

Also check out the Least Common Multiple of 24769 and 24784