Greatest Common Factor of 1323 and 1326

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 1323, 1326 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1323 and 1326 is 3.

GCF(1323,1326) = 3

GCF of 1323 and 1326

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

GCF of:
and

Greatest Common Factor of 1323 and 1326

GCF of 1323 and 1326 is 3

Prime Factorization of 1323


3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 1323 are 3,7. Prime factorization of 1323 in exponential form is:

1323 = 33×72

Prime Factorization of 1326


2 1326
3 663
13 221
17 17
1

Prime factors of 1326 are 2,3,13,17. Prime factorization of 1326 in exponential form is:

1326 = 21×31×131×171

∴ So by taking common prime factors GCF of 1323 and 1326 is 3

Greatest Common Factor of 1323 and 1326 by matching factors method

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Greatest Common Factor

We found the factors and prime factorization of 1323 and 1326. The biggest common factor number is the GCF number.
So the greatest common factor 1323 and 1326 is 3.

Also check out the Least Common Multiple of 1323 and 1326

Properties of GCF 1323 and 1326

(i) The GCF of 1323 and 1326 is associative

GCF of 1323 and 1326 = GCF of 1326 and 1323

Related Greatest Common Factor of 1323

Related Greatest Common Factor of 1326

Frequently Asked Questions on GCF of 1323 and 1326

1. What is the GCF of 1323 and 1326?

Answer: GCF of 1323 and 1326 is 3.

2. What are the Factors of 1323?

Answer: Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. There are 12 integers that are factors of 1323. The greatest factor of 1323 is 1323.

3. What are the Factors of 1326?

Answer: Factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326. There are 16 integers that are factors of 1326. The greatest factor of 1326 is 1326.

4. How to Find the GCF of 1323 and 1326?

Answer:

Greatest Common Factor of 1323 and 1326 = 3

Step 1: Find the prime factorization of 1323

1323 = 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 1326

1326 = 2 x 3 x 13 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1323 and 1326 is 3