What is the Greatest Common Factor of 12709 and 12728?

Greatest common factor (GCF) of 12709 and 12728 is 1.

GCF(12709,12728) = 1

We will now calculate the prime factors of 12709 and 12728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12709 and 12728.

How to find the GCF of 12709 and 12728?

We will first find the prime factorization of 12709 and 12728. After we will calculate the factors of 12709 and 12728 and find the biggest common factor number .

Step-1: Prime Factorization of 12709

Prime factors of 12709 are 71, 179. Prime factorization of 12709 in exponential form is:

12709 = 71¹ × 179¹

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 12709

List of positive integer factors of 12709 that divides 12709 without a remainder.

1, 71, 179

Step-4: Factors of 12728

List of positive integer factors of 12728 that divides 12709 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 12709 and 12728. The biggest common factor number is the GCF number.
So the greatest common factor 12709 and 12728 is 1.

Also check out the Least Common Multiple of 12709 and 12728