What is the Greatest Common Factor of 24704 and 24716?

Greatest common factor (GCF) of 24704 and 24716 is 4.

GCF(24704,24716) = 4

We will now calculate the prime factors of 24704 and 24716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24704 and 24716.

How to find the GCF of 24704 and 24716?

We will first find the prime factorization of 24704 and 24716. After we will calculate the factors of 24704 and 24716 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 24716

Prime factors of 24716 are 2, 37, 167. Prime factorization of 24716 in exponential form is:

24716 = 2² × 37¹ × 167¹

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 24716

List of positive integer factors of 24716 that divides 24704 without a remainder.

1, 2, 4, 37, 74, 148, 167, 334, 668, 6179, 12358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24704 and 24716. The biggest common factor number is the GCF number.
So the greatest common factor 24704 and 24716 is 4.

Also check out the Least Common Multiple of 24704 and 24716