What is the Greatest Common Factor of 24684 and 24704?

Greatest common factor (GCF) of 24684 and 24704 is 4.

GCF(24684,24704) = 4

We will now calculate the prime factors of 24684 and 24704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24684 and 24704.

How to find the GCF of 24684 and 24704?

We will first find the prime factorization of 24684 and 24704. After we will calculate the factors of 24684 and 24704 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24704

Prime factors of 24704 are 2, 193. Prime factorization of 24704 in exponential form is:

24704 = 2⁷ × 193¹

Step-3: Factors of 24684

List of positive integer factors of 24684 that divides 24684 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

Step-4: Factors of 24704

List of positive integer factors of 24704 that divides 24684 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 386, 772, 1544, 3088, 6176, 12352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24684 and 24704. The biggest common factor number is the GCF number.
So the greatest common factor 24684 and 24704 is 4.

Also check out the Least Common Multiple of 24684 and 24704