What is the Greatest Common Factor of 12728 and 12732?

Greatest common factor (GCF) of 12728 and 12732 is 4.

GCF(12728,12732) = 4

We will now calculate the prime factors of 12728 and 12732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12728 and 12732.

How to find the GCF of 12728 and 12732?

We will first find the prime factorization of 12728 and 12732. After we will calculate the factors of 12728 and 12732 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 12732

Prime factors of 12732 are 2, 3, 1061. Prime factorization of 12732 in exponential form is:

12732 = 2² × 3¹ × 1061¹

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 12732

List of positive integer factors of 12732 that divides 12728 without a remainder.

1, 2, 3, 4, 6, 12, 1061, 2122, 3183, 4244, 6366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12728 and 12732. The biggest common factor number is the GCF number.
So the greatest common factor 12728 and 12732 is 4.

Also check out the Least Common Multiple of 12728 and 12732