What is the Greatest Common Factor of 13320 and 13331?

Greatest common factor (GCF) of 13320 and 13331 is 1.

GCF(13320,13331) = 1

We will now calculate the prime factors of 13320 and 13331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13320 and 13331.

How to find the GCF of 13320 and 13331?

We will first find the prime factorization of 13320 and 13331. After we will calculate the factors of 13320 and 13331 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 13331

Prime factors of 13331 are 13331. Prime factorization of 13331 in exponential form is:

13331 = 13331¹

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 13331

List of positive integer factors of 13331 that divides 13320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13320 and 13331. The biggest common factor number is the GCF number.
So the greatest common factor 13320 and 13331 is 1.

Also check out the Least Common Multiple of 13320 and 13331