What is the Greatest Common Factor of 26289 and 26306?

Greatest common factor (GCF) of 26289 and 26306 is 1.

GCF(26289,26306) = 1

We will now calculate the prime factors of 26289 and 26306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26289 and 26306.

How to find the GCF of 26289 and 26306?

We will first find the prime factorization of 26289 and 26306. After we will calculate the factors of 26289 and 26306 and find the biggest common factor number .

Step-1: Prime Factorization of 26289

Prime factors of 26289 are 3, 23, 127. Prime factorization of 26289 in exponential form is:

26289 = 3² × 23¹ × 127¹

Step-2: Prime Factorization of 26306

Prime factors of 26306 are 2, 7, 1879. Prime factorization of 26306 in exponential form is:

26306 = 2¹ × 7¹ × 1879¹

Step-3: Factors of 26289

List of positive integer factors of 26289 that divides 26289 without a remainder.

1, 3, 9, 23, 69, 127, 207, 381, 1143, 2921, 8763

Step-4: Factors of 26306

List of positive integer factors of 26306 that divides 26289 without a remainder.

1, 2, 7, 14, 1879, 3758, 13153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26289 and 26306. The biggest common factor number is the GCF number.
So the greatest common factor 26289 and 26306 is 1.

Also check out the Least Common Multiple of 26289 and 26306