What is the Greatest Common Factor of 26385 and 26404?

Greatest common factor (GCF) of 26385 and 26404 is 1.

GCF(26385,26404) = 1

We will now calculate the prime factors of 26385 and 26404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26385 and 26404.

How to find the GCF of 26385 and 26404?

We will first find the prime factorization of 26385 and 26404. After we will calculate the factors of 26385 and 26404 and find the biggest common factor number .

Step-1: Prime Factorization of 26385

Prime factors of 26385 are 3, 5, 1759. Prime factorization of 26385 in exponential form is:

26385 = 3¹ × 5¹ × 1759¹

Step-2: Prime Factorization of 26404

Prime factors of 26404 are 2, 7, 23, 41. Prime factorization of 26404 in exponential form is:

26404 = 2² × 7¹ × 23¹ × 41¹

Step-3: Factors of 26385

List of positive integer factors of 26385 that divides 26385 without a remainder.

1, 3, 5, 15, 1759, 5277, 8795

Step-4: Factors of 26404

List of positive integer factors of 26404 that divides 26385 without a remainder.

1, 2, 4, 7, 14, 23, 28, 41, 46, 82, 92, 161, 164, 287, 322, 574, 644, 943, 1148, 1886, 3772, 6601, 13202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26385 and 26404. The biggest common factor number is the GCF number.
So the greatest common factor 26385 and 26404 is 1.

Also check out the Least Common Multiple of 26385 and 26404