What is the Greatest Common Factor of 12714 and 12731?

Greatest common factor (GCF) of 12714 and 12731 is 1.

GCF(12714,12731) = 1

We will now calculate the prime factors of 12714 and 12731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12714 and 12731.

How to find the GCF of 12714 and 12731?

We will first find the prime factorization of 12714 and 12731. After we will calculate the factors of 12714 and 12731 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 12731

Prime factors of 12731 are 29, 439. Prime factorization of 12731 in exponential form is:

12731 = 29¹ × 439¹

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 12731

List of positive integer factors of 12731 that divides 12714 without a remainder.

1, 29, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12714 and 12731. The biggest common factor number is the GCF number.
So the greatest common factor 12714 and 12731 is 1.

Also check out the Least Common Multiple of 12714 and 12731