Greatest Common Factor of 1317 and 1323

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 1317, 1323 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1317 and 1323 is 3.

GCF(1317,1323) = 3

GCF of 1317 and 1323

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

GCF of:
and

Greatest Common Factor of 1317 and 1323

GCF of 1317 and 1323 is 3

Prime Factorization of 1317


3 1317
439 439
1

Prime factors of 1317 are 3,439. Prime factorization of 1317 in exponential form is:

1317 = 31×4391

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

∴ So by taking common prime factors GCF of 1317 and 1323 is 3

Greatest Common Factor of 1317 and 1323 by matching factors method

Factors of 1317

List of positive integer factors of 1317 that divides 1317 without a remainder.

1,3,439,1317

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

Greatest Common Factor

We found the factors and prime factorization of 1317 and 1323. The biggest common factor number is the GCF number.
So the greatest common factor 1317 and 1323 is 3.

Also check out the Least Common Multiple of 1317 and 1323

Properties of GCF 1317 and 1323

(i) The GCF of 1317 and 1323 is associative

GCF of 1317 and 1323 = GCF of 1323 and 1317

Related Greatest Common Factor of 1317

Related Greatest Common Factor of 1323

Frequently Asked Questions on GCF of 1317 and 1323

1. What is the GCF of 1317 and 1323?

Answer: GCF of 1317 and 1323 is 3.

2. What are the Factors of 1317?

Answer: Factors of 1317 are 1, 3, 439, 1317. There are 4 integers that are factors of 1317. The greatest factor of 1317 is 1317.

3. 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.

4. How to Find the GCF of 1317 and 1323?

Answer:

Greatest Common Factor of 1317 and 1323 = 3

Step 1: Find the prime factorization of 1317

1317 = 3 x 439

Step 2: Find the prime factorization of 1323

1323 = 3 x 3 x 3 x 7 x 7

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 1317 and 1323 is 3