What is the Greatest Common Factor of 26365 and 26385?

Greatest common factor (GCF) of 26365 and 26385 is 5.

GCF(26365,26385) = 5

We will now calculate the prime factors of 26365 and 26385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26365 and 26385.

How to find the GCF of 26365 and 26385?

We will first find the prime factorization of 26365 and 26385. After we will calculate the factors of 26365 and 26385 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 26385

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

26385 = 3¹ × 5¹ × 1759¹

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 26385

List of positive integer factors of 26385 that divides 26365 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26365 and 26385. The biggest common factor number is the GCF number.
So the greatest common factor 26365 and 26385 is 5.

Also check out the Least Common Multiple of 26365 and 26385