What is the Greatest Common Factor of 26728 and 26743?

Greatest common factor (GCF) of 26728 and 26743 is 1.

GCF(26728,26743) = 1

We will now calculate the prime factors of 26728 and 26743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26728 and 26743.

How to find the GCF of 26728 and 26743?

We will first find the prime factorization of 26728 and 26743. After we will calculate the factors of 26728 and 26743 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 26743

Prime factors of 26743 are 47, 569. Prime factorization of 26743 in exponential form is:

26743 = 47¹ × 569¹

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 26743

List of positive integer factors of 26743 that divides 26728 without a remainder.

1, 47, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26728 and 26743. The biggest common factor number is the GCF number.
So the greatest common factor 26728 and 26743 is 1.

Also check out the Least Common Multiple of 26728 and 26743