What is the Greatest Common Factor of 24566 and 24576?

Greatest common factor (GCF) of 24566 and 24576 is 2.

GCF(24566,24576) = 2

We will now calculate the prime factors of 24566 and 24576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24566 and 24576.

How to find the GCF of 24566 and 24576?

We will first find the prime factorization of 24566 and 24576. After we will calculate the factors of 24566 and 24576 and find the biggest common factor number .

Step-1: Prime Factorization of 24566

Prime factors of 24566 are 2, 71, 173. Prime factorization of 24566 in exponential form is:

24566 = 2¹ × 71¹ × 173¹

Step-2: Prime Factorization of 24576

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

24576 = 2¹³ × 3¹

Step-3: Factors of 24566

List of positive integer factors of 24566 that divides 24566 without a remainder.

1, 2, 71, 142, 173, 346, 12283

Step-4: Factors of 24576

List of positive integer factors of 24576 that divides 24566 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24566 and 24576. The biggest common factor number is the GCF number.
So the greatest common factor 24566 and 24576 is 2.

Also check out the Least Common Multiple of 24566 and 24576