What is the Greatest Common Factor of 13310 and 13320?

Greatest common factor (GCF) of 13310 and 13320 is 10.

GCF(13310,13320) = 10

We will now calculate the prime factors of 13310 and 13320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13310 and 13320.

How to find the GCF of 13310 and 13320?

We will first find the prime factorization of 13310 and 13320. After we will calculate the factors of 13310 and 13320 and find the biggest common factor number .

Step-1: Prime Factorization of 13310

Prime factors of 13310 are 2, 5, 11. Prime factorization of 13310 in exponential form is:

13310 = 2¹ × 5¹ × 11³

Step-2: 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-3: Factors of 13310

List of positive integer factors of 13310 that divides 13310 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655

Step-4: Factors of 13320

List of positive integer factors of 13320 that divides 13310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13310 and 13320. The biggest common factor number is the GCF number.
So the greatest common factor 13310 and 13320 is 10.

Also check out the Least Common Multiple of 13310 and 13320