Greatest Common Factor of 1309 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 1309, 1317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1309 and 1317 is 1.

GCF(1309,1317) = 1

GCF of 1309 and 1317

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

GCF of:
and

Greatest Common Factor of 1309 and 1317

GCF of 1309 and 1317 is 1

Prime Factorization of 1309


7 1309
11 187
17 17
1

Prime factors of 1309 are 7,11,17. Prime factorization of 1309 in exponential form is:

1309 = 71×111×171

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 1309 and 1317 is 1

Greatest Common Factor of 1309 and 1317 by matching factors method

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1,7,11,17,77,119,187,1309

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 1309 and 1317. The biggest common factor number is the GCF number.
So the greatest common factor 1309 and 1317 is 1.

Also check out the Least Common Multiple of 1309 and 1317

Properties of GCF 1309 and 1317

(i) The GCF of 1309 and 1317 is associative

GCF of 1309 and 1317 = GCF of 1317 and 1309

Related Greatest Common Factor of 1309

Related Greatest Common Factor of 1317

Frequently Asked Questions on GCF of 1309 and 1317

1. What is the GCF of 1309 and 1317?

Answer: GCF of 1309 and 1317 is 1.

2. What are the Factors of 1309?

Answer: Factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309. There are 8 integers that are factors of 1309. The greatest factor of 1309 is 1309.

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 1309 and 1317?

Answer:

Greatest Common Factor of 1309 and 1317 = 1

Step 1: Find the prime factorization of 1309

1309 = 7 x 11 x 17

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 = = 1

Step 4: Therefore, the greatest common factor of 1309 and 1317 is 1