What is the Greatest Common Factor of 12714 and 12728?

Greatest common factor (GCF) of 12714 and 12728 is 2.

GCF(12714,12728) = 2

We will now calculate the prime factors of 12714 and 12728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12714 and 12728.

How to find the GCF of 12714 and 12728?

We will first find the prime factorization of 12714 and 12728. After we will calculate the factors of 12714 and 12728 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 12728

Prime factors of 12728 are 2, 37, 43. Prime factorization of 12728 in exponential form is:

12728 = 2³ × 37¹ × 43¹

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 12728

List of positive integer factors of 12728 that divides 12714 without a remainder.

1, 2, 4, 8, 37, 43, 74, 86, 148, 172, 296, 344, 1591, 3182, 6364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12714 and 12728. The biggest common factor number is the GCF number.
So the greatest common factor 12714 and 12728 is 2.

Also check out the Least Common Multiple of 12714 and 12728