What is the Greatest Common Factor of 24564 and 24576?

Greatest common factor (GCF) of 24564 and 24576 is 12.

GCF(24564,24576) = 12

We will now calculate the prime factors of 24564 and 24576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24564 and 24576.

How to find the GCF of 24564 and 24576?

We will first find the prime factorization of 24564 and 24576. After we will calculate the factors of 24564 and 24576 and find the biggest common factor number .

Step-1: Prime Factorization of 24564

Prime factors of 24564 are 2, 3, 23, 89. Prime factorization of 24564 in exponential form is:

24564 = 2² × 3¹ × 23¹ × 89¹

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 24564

List of positive integer factors of 24564 that divides 24564 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 89, 92, 138, 178, 267, 276, 356, 534, 1068, 2047, 4094, 6141, 8188, 12282

Step-4: Factors of 24576

List of positive integer factors of 24576 that divides 24564 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 24564 and 24576. The biggest common factor number is the GCF number.
So the greatest common factor 24564 and 24576 is 12.

Also check out the Least Common Multiple of 24564 and 24576