What is the Greatest Common Factor of 13314 and 13332?

Greatest common factor (GCF) of 13314 and 13332 is 6.

GCF(13314,13332) = 6

We will now calculate the prime factors of 13314 and 13332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13314 and 13332.

How to find the GCF of 13314 and 13332?

We will first find the prime factorization of 13314 and 13332. After we will calculate the factors of 13314 and 13332 and find the biggest common factor number .

Step-1: Prime Factorization of 13314

Prime factors of 13314 are 2, 3, 7, 317. Prime factorization of 13314 in exponential form is:

13314 = 2¹ × 3¹ × 7¹ × 317¹

Step-2: Prime Factorization of 13332

Prime factors of 13332 are 2, 3, 11, 101. Prime factorization of 13332 in exponential form is:

13332 = 2² × 3¹ × 11¹ × 101¹

Step-3: Factors of 13314

List of positive integer factors of 13314 that divides 13314 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 317, 634, 951, 1902, 2219, 4438, 6657

Step-4: Factors of 13332

List of positive integer factors of 13332 that divides 13314 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 101, 132, 202, 303, 404, 606, 1111, 1212, 2222, 3333, 4444, 6666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13314 and 13332. The biggest common factor number is the GCF number.
So the greatest common factor 13314 and 13332 is 6.

Also check out the Least Common Multiple of 13314 and 13332