What is the Greatest Common Factor of 13362 and 13366?

Greatest common factor (GCF) of 13362 and 13366 is 2.

GCF(13362,13366) = 2

We will now calculate the prime factors of 13362 and 13366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13362 and 13366.

How to find the GCF of 13362 and 13366?

We will first find the prime factorization of 13362 and 13366. After we will calculate the factors of 13362 and 13366 and find the biggest common factor number .

Step-1: Prime Factorization of 13362

Prime factors of 13362 are 2, 3, 17, 131. Prime factorization of 13362 in exponential form is:

13362 = 2¹ × 3¹ × 17¹ × 131¹

Step-2: Prime Factorization of 13366

Prime factors of 13366 are 2, 41, 163. Prime factorization of 13366 in exponential form is:

13366 = 2¹ × 41¹ × 163¹

Step-3: Factors of 13362

List of positive integer factors of 13362 that divides 13362 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 131, 262, 393, 786, 2227, 4454, 6681

Step-4: Factors of 13366

List of positive integer factors of 13366 that divides 13362 without a remainder.

1, 2, 41, 82, 163, 326, 6683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13362 and 13366. The biggest common factor number is the GCF number.
So the greatest common factor 13362 and 13366 is 2.

Also check out the Least Common Multiple of 13362 and 13366