Greatest Common Factor of 13316 and 13320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 13316, 13320 i.e. 4 largest integer by which both the numbers can be divided.

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

GCF(13316,13320) = 4

GCF of 13316 and 13320

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 13316 and 13320

GCF of 13316 and 13320 is 4

Prime Factorization of 13316


2 13316
2 6658
3329 3329
1

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

13316 = 22×33291

Prime Factorization of 13320


2 13320
2 6660
2 3330
3 1665
3 555
5 185
37 37
1

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

13320 = 23×32×51×371

∴ So by taking common prime factors GCF of 13316 and 13320 is 4

Greatest Common Factor of 13316 and 13320 by matching factors method

Factors of 13316

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

1,2,4,3329,6658,13316

Factors of 13320

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

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,37,40,45,60,72,74,90,111,120,148,180,185,222,296,333,360,370,444,555,666,740,888,1110,1332,1480,1665,2220,2664,3330,4440,6660,13320

Greatest Common Factor

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

Properties of GCF 13316 and 13320

(i) The GCF of 13316 and 13320 is associative

GCF of 13316 and 13320 = GCF of 13320 and 13316

Related Greatest Common Factor of 13316

Related Greatest Common Factor of 13320

Frequently Asked Questions on GCF of 13316 and 13320

1. What is the GCF of 13316 and 13320?

Answer: GCF of 13316 and 13320 is 4.

2. What are the Factors of 13316?

Answer: Factors of 13316 are 1, 2, 4, 3329, 6658, 13316. There are 6 integers that are factors of 13316. The greatest factor of 13316 is 13316.

3. What are the Factors of 13320?

Answer: Factors of 13320 are 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, 13320. There are 48 integers that are factors of 13320. The greatest factor of 13320 is 13320.

4. How to Find the GCF of 13316 and 13320?

Answer:

Greatest Common Factor of 13316 and 13320 = 4

Step 1: Find the prime factorization of 13316

13316 = 2 x 2 x 3329

Step 2: Find the prime factorization of 13320

13320 = 2 x 2 x 2 x 3 x 3 x 5 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 13316 and 13320 is 4