What is the Greatest Common Factor of 24672 and 24684?

Greatest common factor (GCF) of 24672 and 24684 is 12.

GCF(24672,24684) = 12

We will now calculate the prime factors of 24672 and 24684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24672 and 24684.

How to find the GCF of 24672 and 24684?

We will first find the prime factorization of 24672 and 24684. After we will calculate the factors of 24672 and 24684 and find the biggest common factor number .

Step-1: Prime Factorization of 24672

Prime factors of 24672 are 2, 3, 257. Prime factorization of 24672 in exponential form is:

24672 = 2⁵ × 3¹ × 257¹

Step-2: Prime Factorization of 24684

Prime factors of 24684 are 2, 3, 11, 17. Prime factorization of 24684 in exponential form is:

24684 = 2² × 3¹ × 11² × 17¹

Step-3: Factors of 24672

List of positive integer factors of 24672 that divides 24672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 8224, 12336

Step-4: Factors of 24684

List of positive integer factors of 24684 that divides 24672 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 121, 132, 187, 204, 242, 363, 374, 484, 561, 726, 748, 1122, 1452, 2057, 2244, 4114, 6171, 8228, 12342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24672 and 24684. The biggest common factor number is the GCF number.
So the greatest common factor 24672 and 24684 is 12.

Also check out the Least Common Multiple of 24672 and 24684