What is the Greatest Common Factor of 13302 and 13318?

Greatest common factor (GCF) of 13302 and 13318 is 2.

GCF(13302,13318) = 2

We will now calculate the prime factors of 13302 and 13318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13302 and 13318.

How to find the GCF of 13302 and 13318?

We will first find the prime factorization of 13302 and 13318. After we will calculate the factors of 13302 and 13318 and find the biggest common factor number .

Step-1: Prime Factorization of 13302

Prime factors of 13302 are 2, 3, 739. Prime factorization of 13302 in exponential form is:

13302 = 2¹ × 3² × 739¹

Step-2: Prime Factorization of 13318

Prime factors of 13318 are 2, 6659. Prime factorization of 13318 in exponential form is:

13318 = 2¹ × 6659¹

Step-3: Factors of 13302

List of positive integer factors of 13302 that divides 13302 without a remainder.

1, 2, 3, 6, 9, 18, 739, 1478, 2217, 4434, 6651

Step-4: Factors of 13318

List of positive integer factors of 13318 that divides 13302 without a remainder.

1, 2, 6659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13302 and 13318. The biggest common factor number is the GCF number.
So the greatest common factor 13302 and 13318 is 2.

Also check out the Least Common Multiple of 13302 and 13318