Greatest Common Factor of 14309 and 14316

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, 14316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14309 and 14316 is 1.

GCF(14309,14316) = 1

GCF of 14309 and 14316

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

GCF of:
and

Greatest Common Factor of 14309 and 14316

GCF of 14309 and 14316 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 14316


2 14316
2 7158
3 3579
1193 1193
1

Prime factors of 14316 are 2,3,1193. Prime factorization of 14316 in exponential form is:

14316 = 22×31×11931

∴ So by taking common prime factors GCF of 14309 and 14316 is 1

Greatest Common Factor of 14309 and 14316 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 14316

List of positive integer factors of 14316 that divides 14316 without a remainder.

1,2,3,4,6,12,1193,2386,3579,4772,7158,14316

Greatest Common Factor

We found the factors and prime factorization of 14309 and 14316. The biggest common factor number is the GCF number.
So the greatest common factor 14309 and 14316 is 1.

Also check out the Least Common Multiple of 14309 and 14316

Properties of GCF 14309 and 14316

(i) The GCF of 14309 and 14316 is associative

GCF of 14309 and 14316 = GCF of 14316 and 14309

Related Greatest Common Factor of 14309

Related Greatest Common Factor of 14316

Frequently Asked Questions on GCF of 14309 and 14316

1. What is the GCF of 14309 and 14316?

Answer: GCF of 14309 and 14316 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 14316?

Answer: Factors of 14316 are 1, 2, 3, 4, 6, 12, 1193, 2386, 3579, 4772, 7158, 14316. There are 12 integers that are factors of 14316. The greatest factor of 14316 is 14316.

4. How to Find the GCF of 14309 and 14316?

Answer:

Greatest Common Factor of 14309 and 14316 = 1

Step 1: Find the prime factorization of 14309

14309 = 41 x 349

Step 2: Find the prime factorization of 14316

14316 = 2 x 2 x 3 x 1193

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 14316 is 1