What is the Greatest Common Factor of 24384 and 24389?

Greatest common factor (GCF) of 24384 and 24389 is 1.

GCF(24384,24389) = 1

We will now calculate the prime factors of 24384 and 24389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24384 and 24389.

How to find the GCF of 24384 and 24389?

We will first find the prime factorization of 24384 and 24389. After we will calculate the factors of 24384 and 24389 and find the biggest common factor number .

Step-1: Prime Factorization of 24384

Prime factors of 24384 are 2, 3, 127. Prime factorization of 24384 in exponential form is:

24384 = 2⁶ × 3¹ × 127¹

Step-2: Prime Factorization of 24389

Prime factors of 24389 are 29. Prime factorization of 24389 in exponential form is:

24389 = 29³

Step-3: Factors of 24384

List of positive integer factors of 24384 that divides 24384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 127, 192, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 4064, 6096, 8128, 12192

Step-4: Factors of 24389

List of positive integer factors of 24389 that divides 24384 without a remainder.

1, 29, 841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24384 and 24389. The biggest common factor number is the GCF number.
So the greatest common factor 24384 and 24389 is 1.

Also check out the Least Common Multiple of 24384 and 24389