What is the Greatest Common Factor of 13305 and 13315?

Greatest common factor (GCF) of 13305 and 13315 is 5.

GCF(13305,13315) = 5

We will now calculate the prime factors of 13305 and 13315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13305 and 13315.

How to find the GCF of 13305 and 13315?

We will first find the prime factorization of 13305 and 13315. After we will calculate the factors of 13305 and 13315 and find the biggest common factor number .

Step-1: Prime Factorization of 13305

Prime factors of 13305 are 3, 5, 887. Prime factorization of 13305 in exponential form is:

13305 = 3¹ × 5¹ × 887¹

Step-2: Prime Factorization of 13315

Prime factors of 13315 are 5, 2663. Prime factorization of 13315 in exponential form is:

13315 = 5¹ × 2663¹

Step-3: Factors of 13305

List of positive integer factors of 13305 that divides 13305 without a remainder.

1, 3, 5, 15, 887, 2661, 4435

Step-4: Factors of 13315

List of positive integer factors of 13315 that divides 13305 without a remainder.

1, 5, 2663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13305 and 13315. The biggest common factor number is the GCF number.
So the greatest common factor 13305 and 13315 is 5.

Also check out the Least Common Multiple of 13305 and 13315