What is the Greatest Common Factor of 26274 and 26289?

Greatest common factor (GCF) of 26274 and 26289 is 3.

GCF(26274,26289) = 3

We will now calculate the prime factors of 26274 and 26289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26274 and 26289.

How to find the GCF of 26274 and 26289?

We will first find the prime factorization of 26274 and 26289. After we will calculate the factors of 26274 and 26289 and find the biggest common factor number .

Step-1: Prime Factorization of 26274

Prime factors of 26274 are 2, 3, 29, 151. Prime factorization of 26274 in exponential form is:

26274 = 2¹ × 3¹ × 29¹ × 151¹

Step-2: 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-3: Factors of 26274

List of positive integer factors of 26274 that divides 26274 without a remainder.

1, 2, 3, 6, 29, 58, 87, 151, 174, 302, 453, 906, 4379, 8758, 13137

Step-4: Factors of 26289

List of positive integer factors of 26289 that divides 26274 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26274 and 26289. The biggest common factor number is the GCF number.
So the greatest common factor 26274 and 26289 is 3.

Also check out the Least Common Multiple of 26274 and 26289