What is the Greatest Common Factor of 12728 and 12742?

Greatest common factor (GCF) of 12728 and 12742 is 2.

GCF(12728,12742) = 2

We will now calculate the prime factors of 12728 and 12742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12728 and 12742.

How to find the GCF of 12728 and 12742?

We will first find the prime factorization of 12728 and 12742. After we will calculate the factors of 12728 and 12742 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12742

Prime factors of 12742 are 2, 23, 277. Prime factorization of 12742 in exponential form is:

12742 = 2¹ × 23¹ × 277¹

Step-3: Factors of 12728

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

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

Step-4: Factors of 12742

List of positive integer factors of 12742 that divides 12728 without a remainder.

1, 2, 23, 46, 277, 554, 6371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12728 and 12742. The biggest common factor number is the GCF number.
So the greatest common factor 12728 and 12742 is 2.

Also check out the Least Common Multiple of 12728 and 12742