Greatest Common Factor of 1317 and 1319

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, 1319 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1317 and 1319 is 1.

GCF(1317,1319) = 1

GCF of 1317 and 1319

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

GCF of:
and

Greatest Common Factor of 1317 and 1319

GCF of 1317 and 1319 is 1

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 1319


1319 1319
1

Prime factors of 1319 are 1319. Prime factorization of 1319 in exponential form is:

1319 = 13191

∴ So by taking common prime factors GCF of 1317 and 1319 is 1

Greatest Common Factor of 1317 and 1319 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 1319

List of positive integer factors of 1319 that divides 1319 without a remainder.

1,1319

Greatest Common Factor

We found the factors and prime factorization of 1317 and 1319. The biggest common factor number is the GCF number.
So the greatest common factor 1317 and 1319 is 1.

Also check out the Least Common Multiple of 1317 and 1319

Properties of GCF 1317 and 1319

(i) The GCF of 1317 and 1319 is associative

GCF of 1317 and 1319 = GCF of 1319 and 1317

Related Greatest Common Factor of 1317

Related Greatest Common Factor of 1319

Frequently Asked Questions on GCF of 1317 and 1319

1. What is the GCF of 1317 and 1319?

Answer: GCF of 1317 and 1319 is 1.

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 1319?

Answer: Factors of 1319 are 1, 1319. There are 2 integers that are factors of 1319. The greatest factor of 1319 is 1319.

4. How to Find the GCF of 1317 and 1319?

Answer:

Greatest Common Factor of 1317 and 1319 = 1

Step 1: Find the prime factorization of 1317

1317 = 3 x 439

Step 2: Find the prime factorization of 1319

1319 = 1319

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 1317 and 1319 is 1