Greatest Common Factor of 1326 and 1334

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, 1334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1326 and 1334 is 2.

GCF(1326,1334) = 2

GCF of 1326 and 1334

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

GCF of:
and

Greatest Common Factor of 1326 and 1334

GCF of 1326 and 1334 is 2

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 1334


2 1334
23 667
29 29
1

Prime factors of 1334 are 2,23,29. Prime factorization of 1334 in exponential form is:

1334 = 21×231×291

∴ So by taking common prime factors GCF of 1326 and 1334 is 2

Greatest Common Factor of 1326 and 1334 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 1334

List of positive integer factors of 1334 that divides 1334 without a remainder.

1,2,23,29,46,58,667,1334

Greatest Common Factor

We found the factors and prime factorization of 1326 and 1334. The biggest common factor number is the GCF number.
So the greatest common factor 1326 and 1334 is 2.

Also check out the Least Common Multiple of 1326 and 1334

Properties of GCF 1326 and 1334

(i) The GCF of 1326 and 1334 is associative

GCF of 1326 and 1334 = GCF of 1334 and 1326

Related Greatest Common Factor of 1326

Related Greatest Common Factor of 1334

Frequently Asked Questions on GCF of 1326 and 1334

1. What is the GCF of 1326 and 1334?

Answer: GCF of 1326 and 1334 is 2.

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 1334?

Answer: Factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334. There are 8 integers that are factors of 1334. The greatest factor of 1334 is 1334.

4. How to Find the GCF of 1326 and 1334?

Answer:

Greatest Common Factor of 1326 and 1334 = 2

Step 1: Find the prime factorization of 1326

1326 = 2 x 3 x 13 x 17

Step 2: Find the prime factorization of 1334

1334 = 2 x 23 x 29

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1326 and 1334 is 2