What is the Greatest Common Factor of 13320 and 13338?

Greatest common factor (GCF) of 13320 and 13338 is 18.

GCF(13320,13338) = 18

We will now calculate the prime factors of 13320 and 13338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13320 and 13338.

How to find the GCF of 13320 and 13338?

We will first find the prime factorization of 13320 and 13338. After we will calculate the factors of 13320 and 13338 and find the biggest common factor number .

Step-1: Prime Factorization of 13320

Prime factors of 13320 are 2, 3, 5, 37. Prime factorization of 13320 in exponential form is:

13320 = 2³ × 3² × 5¹ × 37¹

Step-2: Prime Factorization of 13338

Prime factors of 13338 are 2, 3, 13, 19. Prime factorization of 13338 in exponential form is:

13338 = 2¹ × 3³ × 13¹ × 19¹

Step-3: Factors of 13320

List of positive integer factors of 13320 that divides 13320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 37, 40, 45, 60, 72, 74, 90, 111, 120, 148, 180, 185, 222, 296, 333, 360, 370, 444, 555, 666, 740, 888, 1110, 1332, 1480, 1665, 2220, 2664, 3330, 4440, 6660

Step-4: Factors of 13338

List of positive integer factors of 13338 that divides 13320 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 114, 117, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1482, 2223, 4446, 6669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13320 and 13338. The biggest common factor number is the GCF number.
So the greatest common factor 13320 and 13338 is 18.

Also check out the Least Common Multiple of 13320 and 13338