What is the Greatest Common Factor of 12736 and 12746?

Greatest common factor (GCF) of 12736 and 12746 is 2.

GCF(12736,12746) = 2

We will now calculate the prime factors of 12736 and 12746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12736 and 12746.

How to find the GCF of 12736 and 12746?

We will first find the prime factorization of 12736 and 12746. After we will calculate the factors of 12736 and 12746 and find the biggest common factor number .

Step-1: Prime Factorization of 12736

Prime factors of 12736 are 2, 199. Prime factorization of 12736 in exponential form is:

12736 = 2⁶ × 199¹

Step-2: Prime Factorization of 12746

Prime factors of 12746 are 2, 6373. Prime factorization of 12746 in exponential form is:

12746 = 2¹ × 6373¹

Step-3: Factors of 12736

List of positive integer factors of 12736 that divides 12736 without a remainder.

1, 2, 4, 8, 16, 32, 64, 199, 398, 796, 1592, 3184, 6368

Step-4: Factors of 12746

List of positive integer factors of 12746 that divides 12736 without a remainder.

1, 2, 6373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12736 and 12746. The biggest common factor number is the GCF number.
So the greatest common factor 12736 and 12746 is 2.

Also check out the Least Common Multiple of 12736 and 12746