What is the Greatest Common Factor of 26365 and 26375?

Greatest common factor (GCF) of 26365 and 26375 is 5.

GCF(26365,26375) = 5

We will now calculate the prime factors of 26365 and 26375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26365 and 26375.

How to find the GCF of 26365 and 26375?

We will first find the prime factorization of 26365 and 26375. After we will calculate the factors of 26365 and 26375 and find the biggest common factor number .

Step-1: Prime Factorization of 26365

Prime factors of 26365 are 5, 5273. Prime factorization of 26365 in exponential form is:

26365 = 5¹ × 5273¹

Step-2: Prime Factorization of 26375

Prime factors of 26375 are 5, 211. Prime factorization of 26375 in exponential form is:

26375 = 5³ × 211¹

Step-3: Factors of 26365

List of positive integer factors of 26365 that divides 26365 without a remainder.

1, 5, 5273

Step-4: Factors of 26375

List of positive integer factors of 26375 that divides 26365 without a remainder.

1, 5, 25, 125, 211, 1055, 5275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26365 and 26375. The biggest common factor number is the GCF number.
So the greatest common factor 26365 and 26375 is 5.

Also check out the Least Common Multiple of 26365 and 26375