Greatest Common Factor of 1326 and 1332

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 1326, 1332 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1326 and 1332 is 6.

GCF(1326,1332) = 6

GCF of 1326 and 1332

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

GCF of:
and

Greatest Common Factor of 1326 and 1332

GCF of 1326 and 1332 is 6

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

Prime Factorization of 1332


2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 1332 are 2,3,37. Prime factorization of 1332 in exponential form is:

1332 = 22×32×371

∴ So by taking common prime factors GCF of 1326 and 1332 is 6

Greatest Common Factor of 1326 and 1332 by matching factors method

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

Factors of 1332

List of positive integer factors of 1332 that divides 1332 without a remainder.

1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332

Greatest Common Factor

We found the factors and prime factorization of 1326 and 1332. The biggest common factor number is the GCF number.
So the greatest common factor 1326 and 1332 is 6.

Also check out the Least Common Multiple of 1326 and 1332

Properties of GCF 1326 and 1332

(i) The GCF of 1326 and 1332 is associative

GCF of 1326 and 1332 = GCF of 1332 and 1326

Related Greatest Common Factor of 1326

Related Greatest Common Factor of 1332

Frequently Asked Questions on GCF of 1326 and 1332

1. What is the GCF of 1326 and 1332?

Answer: GCF of 1326 and 1332 is 6.

2. 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.

3. What are the Factors of 1332?

Answer: Factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332. There are 18 integers that are factors of 1332. The greatest factor of 1332 is 1332.

4. How to Find the GCF of 1326 and 1332?

Answer:

Greatest Common Factor of 1326 and 1332 = 6

Step 1: Find the prime factorization of 1326

1326 = 2 x 3 x 13 x 17

Step 2: Find the prime factorization of 1332

1332 = 2 x 2 x 3 x 3 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 3 = 6

Step 4: Therefore, the greatest common factor of 1326 and 1332 is 6