Greatest Common Factor of 1318 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 1318, 1326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1318 and 1326 is 2.

GCF(1318,1326) = 2

GCF of 1318 and 1326

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

GCF of:
and

Greatest Common Factor of 1318 and 1326

GCF of 1318 and 1326 is 2

Prime Factorization of 1318


2 1318
659 659
1

Prime factors of 1318 are 2,659. Prime factorization of 1318 in exponential form is:

1318 = 21×6591

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 1318 and 1326 is 2

Greatest Common Factor of 1318 and 1326 by matching factors method

Factors of 1318

List of positive integer factors of 1318 that divides 1318 without a remainder.

1,2,659,1318

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 1318 and 1326. The biggest common factor number is the GCF number.
So the greatest common factor 1318 and 1326 is 2.

Also check out the Least Common Multiple of 1318 and 1326

Properties of GCF 1318 and 1326

(i) The GCF of 1318 and 1326 is associative

GCF of 1318 and 1326 = GCF of 1326 and 1318

Related Greatest Common Factor of 1318

Related Greatest Common Factor of 1326

Frequently Asked Questions on GCF of 1318 and 1326

1. What is the GCF of 1318 and 1326?

Answer: GCF of 1318 and 1326 is 2.

2. What are the Factors of 1318?

Answer: Factors of 1318 are 1, 2, 659, 1318. There are 4 integers that are factors of 1318. The greatest factor of 1318 is 1318.

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 1318 and 1326?

Answer:

Greatest Common Factor of 1318 and 1326 = 2

Step 1: Find the prime factorization of 1318

1318 = 2 x 659

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 = 2

Step 4: Therefore, the greatest common factor of 1318 and 1326 is 2