What is the Greatest Common Factor of 13305 and 13310?

Greatest common factor (GCF) of 13305 and 13310 is 5.

GCF(13305,13310) = 5

We will now calculate the prime factors of 13305 and 13310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13305 and 13310.

How to find the GCF of 13305 and 13310?

We will first find the prime factorization of 13305 and 13310. After we will calculate the factors of 13305 and 13310 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 13310

Prime factors of 13310 are 2, 5, 11. Prime factorization of 13310 in exponential form is:

13310 = 2¹ × 5¹ × 11³

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 13310

List of positive integer factors of 13310 that divides 13305 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13305 and 13310. The biggest common factor number is the GCF number.
So the greatest common factor 13305 and 13310 is 5.

Also check out the Least Common Multiple of 13305 and 13310