What is the Greatest Common Factor of 13308 and 13315?

Greatest common factor (GCF) of 13308 and 13315 is 1.

GCF(13308,13315) = 1

We will now calculate the prime factors of 13308 and 13315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13308 and 13315.

How to find the GCF of 13308 and 13315?

We will first find the prime factorization of 13308 and 13315. After we will calculate the factors of 13308 and 13315 and find the biggest common factor number .

Step-1: Prime Factorization of 13308

Prime factors of 13308 are 2, 3, 1109. Prime factorization of 13308 in exponential form is:

13308 = 2² × 3¹ × 1109¹

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 13308

List of positive integer factors of 13308 that divides 13308 without a remainder.

1, 2, 3, 4, 6, 12, 1109, 2218, 3327, 4436, 6654

Step-4: Factors of 13315

List of positive integer factors of 13315 that divides 13308 without a remainder.

1, 5, 2663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13308 and 13315. The biggest common factor number is the GCF number.
So the greatest common factor 13308 and 13315 is 1.

Also check out the Least Common Multiple of 13308 and 13315