What is the Greatest Common Factor of 26390 and 26395?

Greatest common factor (GCF) of 26390 and 26395 is 5.

GCF(26390,26395) = 5

We will now calculate the prime factors of 26390 and 26395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26390 and 26395.

How to find the GCF of 26390 and 26395?

We will first find the prime factorization of 26390 and 26395. After we will calculate the factors of 26390 and 26395 and find the biggest common factor number .

Step-1: Prime Factorization of 26390

Prime factors of 26390 are 2, 5, 7, 13, 29. Prime factorization of 26390 in exponential form is:

26390 = 2¹ × 5¹ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 26395

Prime factors of 26395 are 5, 5279. Prime factorization of 26395 in exponential form is:

26395 = 5¹ × 5279¹

Step-3: Factors of 26390

List of positive integer factors of 26390 that divides 26390 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 29, 35, 58, 65, 70, 91, 130, 145, 182, 203, 290, 377, 406, 455, 754, 910, 1015, 1885, 2030, 2639, 3770, 5278, 13195

Step-4: Factors of 26395

List of positive integer factors of 26395 that divides 26390 without a remainder.

1, 5, 5279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26390 and 26395. The biggest common factor number is the GCF number.
So the greatest common factor 26390 and 26395 is 5.

Also check out the Least Common Multiple of 26390 and 26395