What is the Greatest Common Factor of 12704 and 12719?

Greatest common factor (GCF) of 12704 and 12719 is 1.

GCF(12704,12719) = 1

We will now calculate the prime factors of 12704 and 12719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12704 and 12719.

How to find the GCF of 12704 and 12719?

We will first find the prime factorization of 12704 and 12719. After we will calculate the factors of 12704 and 12719 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 12719

Prime factors of 12719 are 7, 23, 79. Prime factorization of 12719 in exponential form is:

12719 = 7¹ × 23¹ × 79¹

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 12719

List of positive integer factors of 12719 that divides 12704 without a remainder.

1, 7, 23, 79, 161, 553, 1817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12704 and 12719. The biggest common factor number is the GCF number.
So the greatest common factor 12704 and 12719 is 1.

Also check out the Least Common Multiple of 12704 and 12719