What is the Greatest Common Factor of 13316 and 13320?

Greatest common factor (GCF) of 13316 and 13320 is 4.

GCF(13316,13320) = 4

We will now calculate the prime factors of 13316 and 13320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13316 and 13320.

How to find the GCF of 13316 and 13320?

We will first find the prime factorization of 13316 and 13320. After we will calculate the factors of 13316 and 13320 and find the biggest common factor number .

Step-1: Prime Factorization of 13316

Prime factors of 13316 are 2, 3329. Prime factorization of 13316 in exponential form is:

13316 = 2² × 3329¹

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 13316

List of positive integer factors of 13316 that divides 13316 without a remainder.

1, 2, 4, 3329, 6658

Step-4: Factors of 13320

List of positive integer factors of 13320 that divides 13316 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 13316 and 13320. The biggest common factor number is the GCF number.
So the greatest common factor 13316 and 13320 is 4.

Also check out the Least Common Multiple of 13316 and 13320