What is the Greatest Common Factor of 12704 and 12710?

Greatest common factor (GCF) of 12704 and 12710 is 2.

GCF(12704,12710) = 2

We will now calculate the prime factors of 12704 and 12710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12704 and 12710.

How to find the GCF of 12704 and 12710?

We will first find the prime factorization of 12704 and 12710. After we will calculate the factors of 12704 and 12710 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 12710

Prime factors of 12710 are 2, 5, 31, 41. Prime factorization of 12710 in exponential form is:

12710 = 2¹ × 5¹ × 31¹ × 41¹

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 12710

List of positive integer factors of 12710 that divides 12704 without a remainder.

1, 2, 5, 10, 31, 41, 62, 82, 155, 205, 310, 410, 1271, 2542, 6355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12704 and 12710. The biggest common factor number is the GCF number.
So the greatest common factor 12704 and 12710 is 2.

Also check out the Least Common Multiple of 12704 and 12710