What is the Greatest Common Factor of 26378 and 26389?

Greatest common factor (GCF) of 26378 and 26389 is 11.

GCF(26378,26389) = 11

We will now calculate the prime factors of 26378 and 26389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26378 and 26389.

How to find the GCF of 26378 and 26389?

We will first find the prime factorization of 26378 and 26389. After we will calculate the factors of 26378 and 26389 and find the biggest common factor number .

Step-1: Prime Factorization of 26378

Prime factors of 26378 are 2, 11, 109. Prime factorization of 26378 in exponential form is:

26378 = 2¹ × 11² × 109¹

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 26378

List of positive integer factors of 26378 that divides 26378 without a remainder.

1, 2, 11, 22, 109, 121, 218, 242, 1199, 2398, 13189

Step-4: Factors of 26389

List of positive integer factors of 26389 that divides 26378 without a remainder.

1, 11, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26378 and 26389. The biggest common factor number is the GCF number.
So the greatest common factor 26378 and 26389 is 11.

Also check out the Least Common Multiple of 26378 and 26389