Greatest Common Factor of 1311 and 1317

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 1311, 1317 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1311 and 1317 is 3.

GCF(1311,1317) = 3

GCF of 1311 and 1317

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

GCF of:
and

Greatest Common Factor of 1311 and 1317

GCF of 1311 and 1317 is 3

Prime Factorization of 1311


3 1311
19 437
23 23
1

Prime factors of 1311 are 3,19,23. Prime factorization of 1311 in exponential form is:

1311 = 31×191×231

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

∴ So by taking common prime factors GCF of 1311 and 1317 is 3

Greatest Common Factor of 1311 and 1317 by matching factors method

Factors of 1311

List of positive integer factors of 1311 that divides 1311 without a remainder.

1,3,19,23,57,69,437,1311

Factors of 1317

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

1,3,439,1317

Greatest Common Factor

We found the factors and prime factorization of 1311 and 1317. The biggest common factor number is the GCF number.
So the greatest common factor 1311 and 1317 is 3.

Also check out the Least Common Multiple of 1311 and 1317

Properties of GCF 1311 and 1317

(i) The GCF of 1311 and 1317 is associative

GCF of 1311 and 1317 = GCF of 1317 and 1311

Related Greatest Common Factor of 1311

Related Greatest Common Factor of 1317

Frequently Asked Questions on GCF of 1311 and 1317

1. What is the GCF of 1311 and 1317?

Answer: GCF of 1311 and 1317 is 3.

2. What are the Factors of 1311?

Answer: Factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311. There are 8 integers that are factors of 1311. The greatest factor of 1311 is 1311.

3. 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.

4. How to Find the GCF of 1311 and 1317?

Answer:

Greatest Common Factor of 1311 and 1317 = 3

Step 1: Find the prime factorization of 1311

1311 = 3 x 19 x 23

Step 2: Find the prime factorization of 1317

1317 = 3 x 439

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 1311 and 1317 is 3