What is the Greatest Common Factor of 24576 and 24585?

Greatest common factor (GCF) of 24576 and 24585 is 3.

GCF(24576,24585) = 3

We will now calculate the prime factors of 24576 and 24585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24576 and 24585.

How to find the GCF of 24576 and 24585?

We will first find the prime factorization of 24576 and 24585. After we will calculate the factors of 24576 and 24585 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 24585

Prime factors of 24585 are 3, 5, 11, 149. Prime factorization of 24585 in exponential form is:

24585 = 3¹ × 5¹ × 11¹ × 149¹

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 24585

List of positive integer factors of 24585 that divides 24576 without a remainder.

1, 3, 5, 11, 15, 33, 55, 149, 165, 447, 745, 1639, 2235, 4917, 8195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24576 and 24585. The biggest common factor number is the GCF number.
So the greatest common factor 24576 and 24585 is 3.

Also check out the Least Common Multiple of 24576 and 24585