What is the Greatest Common Factor of 12714 and 12727?

Greatest common factor (GCF) of 12714 and 12727 is 13.

GCF(12714,12727) = 13

We will now calculate the prime factors of 12714 and 12727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12714 and 12727.

How to find the GCF of 12714 and 12727?

We will first find the prime factorization of 12714 and 12727. After we will calculate the factors of 12714 and 12727 and find the biggest common factor number .

Step-1: Prime Factorization of 12714

Prime factors of 12714 are 2, 3, 13, 163. Prime factorization of 12714 in exponential form is:

12714 = 2¹ × 3¹ × 13¹ × 163¹

Step-2: Prime Factorization of 12727

Prime factors of 12727 are 11, 13, 89. Prime factorization of 12727 in exponential form is:

12727 = 11¹ × 13¹ × 89¹

Step-3: Factors of 12714

List of positive integer factors of 12714 that divides 12714 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 163, 326, 489, 978, 2119, 4238, 6357

Step-4: Factors of 12727

List of positive integer factors of 12727 that divides 12714 without a remainder.

1, 11, 13, 89, 143, 979, 1157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12714 and 12727. The biggest common factor number is the GCF number.
So the greatest common factor 12714 and 12727 is 13.

Also check out the Least Common Multiple of 12714 and 12727