What is the Greatest Common Factor of 26728 and 26746?

Greatest common factor (GCF) of 26728 and 26746 is 2.

GCF(26728,26746) = 2

We will now calculate the prime factors of 26728 and 26746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26728 and 26746.

How to find the GCF of 26728 and 26746?

We will first find the prime factorization of 26728 and 26746. After we will calculate the factors of 26728 and 26746 and find the biggest common factor number .

Step-1: Prime Factorization of 26728

Prime factors of 26728 are 2, 13, 257. Prime factorization of 26728 in exponential form is:

26728 = 2³ × 13¹ × 257¹

Step-2: Prime Factorization of 26746

Prime factors of 26746 are 2, 43, 311. Prime factorization of 26746 in exponential form is:

26746 = 2¹ × 43¹ × 311¹

Step-3: Factors of 26728

List of positive integer factors of 26728 that divides 26728 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 257, 514, 1028, 2056, 3341, 6682, 13364

Step-4: Factors of 26746

List of positive integer factors of 26746 that divides 26728 without a remainder.

1, 2, 43, 86, 311, 622, 13373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26728 and 26746. The biggest common factor number is the GCF number.
So the greatest common factor 26728 and 26746 is 2.

Also check out the Least Common Multiple of 26728 and 26746