What is the Greatest Common Factor of 12704 and 12716?

Greatest common factor (GCF) of 12704 and 12716 is 4.

GCF(12704,12716) = 4

We will now calculate the prime factors of 12704 and 12716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12704 and 12716.

How to find the GCF of 12704 and 12716?

We will first find the prime factorization of 12704 and 12716. After we will calculate the factors of 12704 and 12716 and find the biggest common factor number .

Step-1: Prime Factorization of 12704

Prime factors of 12704 are 2, 397. Prime factorization of 12704 in exponential form is:

12704 = 2⁵ × 397¹

Step-2: Prime Factorization of 12716

Prime factors of 12716 are 2, 11, 17. Prime factorization of 12716 in exponential form is:

12716 = 2² × 11¹ × 17²

Step-3: Factors of 12704

List of positive integer factors of 12704 that divides 12704 without a remainder.

1, 2, 4, 8, 16, 32, 397, 794, 1588, 3176, 6352

Step-4: Factors of 12716

List of positive integer factors of 12716 that divides 12704 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 289, 374, 578, 748, 1156, 3179, 6358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12704 and 12716. The biggest common factor number is the GCF number.
So the greatest common factor 12704 and 12716 is 4.

Also check out the Least Common Multiple of 12704 and 12716