What is the Greatest Common Factor of 12766 and 12779?

Greatest common factor (GCF) of 12766 and 12779 is 13.

GCF(12766,12779) = 13

We will now calculate the prime factors of 12766 and 12779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12766 and 12779.

How to find the GCF of 12766 and 12779?

We will first find the prime factorization of 12766 and 12779. After we will calculate the factors of 12766 and 12779 and find the biggest common factor number .

Step-1: Prime Factorization of 12766

Prime factors of 12766 are 2, 13, 491. Prime factorization of 12766 in exponential form is:

12766 = 2¹ × 13¹ × 491¹

Step-2: Prime Factorization of 12779

Prime factors of 12779 are 13, 983. Prime factorization of 12779 in exponential form is:

12779 = 13¹ × 983¹

Step-3: Factors of 12766

List of positive integer factors of 12766 that divides 12766 without a remainder.

1, 2, 13, 26, 491, 982, 6383

Step-4: Factors of 12779

List of positive integer factors of 12779 that divides 12766 without a remainder.

1, 13, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12766 and 12779. The biggest common factor number is the GCF number.
So the greatest common factor 12766 and 12779 is 13.

Also check out the Least Common Multiple of 12766 and 12779