What is the Greatest Common Factor of 13320 and 13335?

Greatest common factor (GCF) of 13320 and 13335 is 15.

GCF(13320,13335) = 15

We will now calculate the prime factors of 13320 and 13335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13320 and 13335.

How to find the GCF of 13320 and 13335?

We will first find the prime factorization of 13320 and 13335. After we will calculate the factors of 13320 and 13335 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 13335

Prime factors of 13335 are 3, 5, 7, 127. Prime factorization of 13335 in exponential form is:

13335 = 3¹ × 5¹ × 7¹ × 127¹

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 13335

List of positive integer factors of 13335 that divides 13320 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 127, 381, 635, 889, 1905, 2667, 4445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13320 and 13335. The biggest common factor number is the GCF number.
So the greatest common factor 13320 and 13335 is 15.

Also check out the Least Common Multiple of 13320 and 13335