What is the Greatest Common Factor of 24704 and 24708?

Greatest common factor (GCF) of 24704 and 24708 is 4.

GCF(24704,24708) = 4

We will now calculate the prime factors of 24704 and 24708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24704 and 24708.

How to find the GCF of 24704 and 24708?

We will first find the prime factorization of 24704 and 24708. After we will calculate the factors of 24704 and 24708 and find the biggest common factor number .

Step-1: Prime Factorization of 24704

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

24704 = 2⁷ × 193¹

Step-2: Prime Factorization of 24708

Prime factors of 24708 are 2, 3, 29, 71. Prime factorization of 24708 in exponential form is:

24708 = 2² × 3¹ × 29¹ × 71¹

Step-3: Factors of 24704

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

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

Step-4: Factors of 24708

List of positive integer factors of 24708 that divides 24704 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 71, 87, 116, 142, 174, 213, 284, 348, 426, 852, 2059, 4118, 6177, 8236, 12354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24704 and 24708. The biggest common factor number is the GCF number.
So the greatest common factor 24704 and 24708 is 4.

Also check out the Least Common Multiple of 24704 and 24708