What is the Greatest Common Factor of 26728 and 26744?

Greatest common factor (GCF) of 26728 and 26744 is 8.

GCF(26728,26744) = 8

We will now calculate the prime factors of 26728 and 26744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26728 and 26744.

How to find the GCF of 26728 and 26744?

We will first find the prime factorization of 26728 and 26744. After we will calculate the factors of 26728 and 26744 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 26744

Prime factors of 26744 are 2, 3343. Prime factorization of 26744 in exponential form is:

26744 = 2³ × 3343¹

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 26744

List of positive integer factors of 26744 that divides 26728 without a remainder.

1, 2, 4, 8, 3343, 6686, 13372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26728 and 26744. The biggest common factor number is the GCF number.
So the greatest common factor 26728 and 26744 is 8.

Also check out the Least Common Multiple of 26728 and 26744