Greatest Common Factor of 1326 and 1333

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, 1333 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1326 and 1333 is 1.

GCF(1326,1333) = 1

GCF of 1326 and 1333

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

GCF of:
and

Greatest Common Factor of 1326 and 1333

GCF of 1326 and 1333 is 1

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 1333


31 1333
43 43
1

Prime factors of 1333 are 31,43. Prime factorization of 1333 in exponential form is:

1333 = 311×431

∴ So by taking common prime factors GCF of 1326 and 1333 is 1

Greatest Common Factor of 1326 and 1333 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 1333

List of positive integer factors of 1333 that divides 1333 without a remainder.

1,31,43,1333

Greatest Common Factor

We found the factors and prime factorization of 1326 and 1333. The biggest common factor number is the GCF number.
So the greatest common factor 1326 and 1333 is 1.

Also check out the Least Common Multiple of 1326 and 1333

Properties of GCF 1326 and 1333

(i) The GCF of 1326 and 1333 is associative

GCF of 1326 and 1333 = GCF of 1333 and 1326

Related Greatest Common Factor of 1326

Related Greatest Common Factor of 1333

Frequently Asked Questions on GCF of 1326 and 1333

1. What is the GCF of 1326 and 1333?

Answer: GCF of 1326 and 1333 is 1.

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 1333?

Answer: Factors of 1333 are 1, 31, 43, 1333. There are 4 integers that are factors of 1333. The greatest factor of 1333 is 1333.

4. How to Find the GCF of 1326 and 1333?

Answer:

Greatest Common Factor of 1326 and 1333 = 1

Step 1: Find the prime factorization of 1326

1326 = 2 x 3 x 13 x 17

Step 2: Find the prime factorization of 1333

1333 = 31 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1326 and 1333 is 1