What is the Greatest Common Factor of 26728 and 26741?

Greatest common factor (GCF) of 26728 and 26741 is 13.

GCF(26728,26741) = 13

We will now calculate the prime factors of 26728 and 26741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26728 and 26741.

How to find the GCF of 26728 and 26741?

We will first find the prime factorization of 26728 and 26741. After we will calculate the factors of 26728 and 26741 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 26741

Prime factors of 26741 are 11, 13, 17. Prime factorization of 26741 in exponential form is:

26741 = 11² × 13¹ × 17¹

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 26741

List of positive integer factors of 26741 that divides 26728 without a remainder.

1, 11, 13, 17, 121, 143, 187, 221, 1573, 2057, 2431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26728 and 26741. The biggest common factor number is the GCF number.
So the greatest common factor 26728 and 26741 is 13.

Also check out the Least Common Multiple of 26728 and 26741