What is the Greatest Common Factor of 26289 and 26301?

Greatest common factor (GCF) of 26289 and 26301 is 3.

GCF(26289,26301) = 3

We will now calculate the prime factors of 26289 and 26301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26289 and 26301.

How to find the GCF of 26289 and 26301?

We will first find the prime factorization of 26289 and 26301. After we will calculate the factors of 26289 and 26301 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 26301

Prime factors of 26301 are 3, 11, 797. Prime factorization of 26301 in exponential form is:

26301 = 3¹ × 11¹ × 797¹

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 26301

List of positive integer factors of 26301 that divides 26289 without a remainder.

1, 3, 11, 33, 797, 2391, 8767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26289 and 26301. The biggest common factor number is the GCF number.
So the greatest common factor 26289 and 26301 is 3.

Also check out the Least Common Multiple of 26289 and 26301