What is the Greatest Common Factor of 12386 and 12406?

Greatest common factor (GCF) of 12386 and 12406 is 2.

GCF(12386,12406) = 2

We will now calculate the prime factors of 12386 and 12406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12386 and 12406.

How to find the GCF of 12386 and 12406?

We will first find the prime factorization of 12386 and 12406. After we will calculate the factors of 12386 and 12406 and find the biggest common factor number .

Step-1: Prime Factorization of 12386

Prime factors of 12386 are 2, 11, 563. Prime factorization of 12386 in exponential form is:

12386 = 2¹ × 11¹ × 563¹

Step-2: Prime Factorization of 12406

Prime factors of 12406 are 2, 6203. Prime factorization of 12406 in exponential form is:

12406 = 2¹ × 6203¹

Step-3: Factors of 12386

List of positive integer factors of 12386 that divides 12386 without a remainder.

1, 2, 11, 22, 563, 1126, 6193

Step-4: Factors of 12406

List of positive integer factors of 12406 that divides 12386 without a remainder.

1, 2, 6203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12386 and 12406. The biggest common factor number is the GCF number.
So the greatest common factor 12386 and 12406 is 2.

Also check out the Least Common Multiple of 12386 and 12406