What is the Greatest Common Factor of 12753 and 12766?

Greatest common factor (GCF) of 12753 and 12766 is 13.

GCF(12753,12766) = 13

We will now calculate the prime factors of 12753 and 12766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12753 and 12766.

How to find the GCF of 12753 and 12766?

We will first find the prime factorization of 12753 and 12766. After we will calculate the factors of 12753 and 12766 and find the biggest common factor number .

Step-1: Prime Factorization of 12753

Prime factors of 12753 are 3, 13, 109. Prime factorization of 12753 in exponential form is:

12753 = 3² × 13¹ × 109¹

Step-2: 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-3: Factors of 12753

List of positive integer factors of 12753 that divides 12753 without a remainder.

1, 3, 9, 13, 39, 109, 117, 327, 981, 1417, 4251

Step-4: Factors of 12766

List of positive integer factors of 12766 that divides 12753 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12753 and 12766. The biggest common factor number is the GCF number.
So the greatest common factor 12753 and 12766 is 13.

Also check out the Least Common Multiple of 12753 and 12766