What is the Greatest Common Factor of 26305 and 26310?

Greatest common factor (GCF) of 26305 and 26310 is 5.

GCF(26305,26310) = 5

We will now calculate the prime factors of 26305 and 26310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26305 and 26310.

How to find the GCF of 26305 and 26310?

We will first find the prime factorization of 26305 and 26310. After we will calculate the factors of 26305 and 26310 and find the biggest common factor number .

Step-1: Prime Factorization of 26305

Prime factors of 26305 are 5, 5261. Prime factorization of 26305 in exponential form is:

26305 = 5¹ × 5261¹

Step-2: Prime Factorization of 26310

Prime factors of 26310 are 2, 3, 5, 877. Prime factorization of 26310 in exponential form is:

26310 = 2¹ × 3¹ × 5¹ × 877¹

Step-3: Factors of 26305

List of positive integer factors of 26305 that divides 26305 without a remainder.

1, 5, 5261

Step-4: Factors of 26310

List of positive integer factors of 26310 that divides 26305 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26305 and 26310. The biggest common factor number is the GCF number.
So the greatest common factor 26305 and 26310 is 5.

Also check out the Least Common Multiple of 26305 and 26310