Greatest Common Factor of 14309 and 14317

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 14309, 14317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14309 and 14317 is 1.

GCF(14309,14317) = 1

GCF of 14309 and 14317

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

GCF of:
and

Greatest Common Factor of 14309 and 14317

GCF of 14309 and 14317 is 1

Prime Factorization of 14309


41 14309
349 349
1

Prime factors of 14309 are 41,349. Prime factorization of 14309 in exponential form is:

14309 = 411×3491

Prime Factorization of 14317


103 14317
139 139
1

Prime factors of 14317 are 103,139. Prime factorization of 14317 in exponential form is:

14317 = 1031×1391

∴ So by taking common prime factors GCF of 14309 and 14317 is 1

Greatest Common Factor of 14309 and 14317 by matching factors method

Factors of 14309

List of positive integer factors of 14309 that divides 14309 without a remainder.

1,41,349,14309

Factors of 14317

List of positive integer factors of 14317 that divides 14317 without a remainder.

1,103,139,14317

Greatest Common Factor

We found the factors and prime factorization of 14309 and 14317. The biggest common factor number is the GCF number.
So the greatest common factor 14309 and 14317 is 1.

Also check out the Least Common Multiple of 14309 and 14317

Properties of GCF 14309 and 14317

(i) The GCF of 14309 and 14317 is associative

GCF of 14309 and 14317 = GCF of 14317 and 14309

Related Greatest Common Factor of 14309

Related Greatest Common Factor of 14317

Frequently Asked Questions on GCF of 14309 and 14317

1. What is the GCF of 14309 and 14317?

Answer: GCF of 14309 and 14317 is 1.

2. What are the Factors of 14309?

Answer: Factors of 14309 are 1, 41, 349, 14309. There are 4 integers that are factors of 14309. The greatest factor of 14309 is 14309.

3. What are the Factors of 14317?

Answer: Factors of 14317 are 1, 103, 139, 14317. There are 4 integers that are factors of 14317. The greatest factor of 14317 is 14317.

4. How to Find the GCF of 14309 and 14317?

Answer:

Greatest Common Factor of 14309 and 14317 = 1

Step 1: Find the prime factorization of 14309

14309 = 41 x 349

Step 2: Find the prime factorization of 14317

14317 = 103 x 139

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 14309 and 14317 is 1