What is the Greatest Common Factor of 24576 and 24589?

Greatest common factor (GCF) of 24576 and 24589 is 1.

GCF(24576,24589) = 1

We will now calculate the prime factors of 24576 and 24589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24576 and 24589.

How to find the GCF of 24576 and 24589?

We will first find the prime factorization of 24576 and 24589. After we will calculate the factors of 24576 and 24589 and find the biggest common factor number .

Step-1: Prime Factorization of 24576

Prime factors of 24576 are 2, 3. Prime factorization of 24576 in exponential form is:

24576 = 2¹³ × 3¹

Step-2: Prime Factorization of 24589

Prime factors of 24589 are 67, 367. Prime factorization of 24589 in exponential form is:

24589 = 67¹ × 367¹

Step-3: Factors of 24576

List of positive integer factors of 24576 that divides 24576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288

Step-4: Factors of 24589

List of positive integer factors of 24589 that divides 24576 without a remainder.

1, 67, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24576 and 24589. The biggest common factor number is the GCF number.
So the greatest common factor 24576 and 24589 is 1.

Also check out the Least Common Multiple of 24576 and 24589