What is the Greatest Common Factor of 26277 and 26289?

Greatest common factor (GCF) of 26277 and 26289 is 3.

GCF(26277,26289) = 3

We will now calculate the prime factors of 26277 and 26289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26277 and 26289.

How to find the GCF of 26277 and 26289?

We will first find the prime factorization of 26277 and 26289. After we will calculate the factors of 26277 and 26289 and find the biggest common factor number .

Step-1: Prime Factorization of 26277

Prime factors of 26277 are 3, 19, 461. Prime factorization of 26277 in exponential form is:

26277 = 3¹ × 19¹ × 461¹

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 26277

List of positive integer factors of 26277 that divides 26277 without a remainder.

1, 3, 19, 57, 461, 1383, 8759

Step-4: Factors of 26289

List of positive integer factors of 26289 that divides 26277 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 26277 and 26289. The biggest common factor number is the GCF number.
So the greatest common factor 26277 and 26289 is 3.

Also check out the Least Common Multiple of 26277 and 26289