What is the Greatest Common Factor of 26381 and 26389?

Greatest common factor (GCF) of 26381 and 26389 is 1.

GCF(26381,26389) = 1

We will now calculate the prime factors of 26381 and 26389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26381 and 26389.

How to find the GCF of 26381 and 26389?

We will first find the prime factorization of 26381 and 26389. After we will calculate the factors of 26381 and 26389 and find the biggest common factor number .

Step-1: Prime Factorization of 26381

Prime factors of 26381 are 23, 31, 37. Prime factorization of 26381 in exponential form is:

26381 = 23¹ × 31¹ × 37¹

Step-2: Prime Factorization of 26389

Prime factors of 26389 are 11, 2399. Prime factorization of 26389 in exponential form is:

26389 = 11¹ × 2399¹

Step-3: Factors of 26381

List of positive integer factors of 26381 that divides 26381 without a remainder.

1, 23, 31, 37, 713, 851, 1147

Step-4: Factors of 26389

List of positive integer factors of 26389 that divides 26381 without a remainder.

1, 11, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26381 and 26389. The biggest common factor number is the GCF number.
So the greatest common factor 26381 and 26389 is 1.

Also check out the Least Common Multiple of 26381 and 26389