What is the Greatest Common Factor of 26389 and 26406?

Greatest common factor (GCF) of 26389 and 26406 is 1.

GCF(26389,26406) = 1

We will now calculate the prime factors of 26389 and 26406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26389 and 26406.

How to find the GCF of 26389 and 26406?

We will first find the prime factorization of 26389 and 26406. After we will calculate the factors of 26389 and 26406 and find the biggest common factor number .

Step-1: Prime Factorization of 26389

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

26389 = 11¹ × 2399¹

Step-2: Prime Factorization of 26406

Prime factors of 26406 are 2, 3, 163. Prime factorization of 26406 in exponential form is:

26406 = 2¹ × 3⁴ × 163¹

Step-3: Factors of 26389

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

1, 11, 2399

Step-4: Factors of 26406

List of positive integer factors of 26406 that divides 26389 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 163, 326, 489, 978, 1467, 2934, 4401, 8802, 13203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26389 and 26406. The biggest common factor number is the GCF number.
So the greatest common factor 26389 and 26406 is 1.

Also check out the Least Common Multiple of 26389 and 26406