Greatest Common Factor of 9309 and 9314

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 9309, 9314 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9309 and 9314 is 1.

GCF(9309,9314) = 1

GCF of 9309 and 9314

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

GCF of:
and

Greatest Common Factor of 9309 and 9314

GCF of 9309 and 9314 is 1

Prime Factorization of 9309


3 9309
29 3103
107 107
1

Prime factors of 9309 are 3,29,107. Prime factorization of 9309 in exponential form is:

9309 = 31×291×1071

Prime Factorization of 9314


2 9314
4657 4657
1

Prime factors of 9314 are 2,4657. Prime factorization of 9314 in exponential form is:

9314 = 21×46571

∴ So by taking common prime factors GCF of 9309 and 9314 is 1

Greatest Common Factor of 9309 and 9314 by matching factors method

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1,2,4657,9314

Greatest Common Factor

We found the factors and prime factorization of 9309 and 9314. The biggest common factor number is the GCF number.
So the greatest common factor 9309 and 9314 is 1.

Also check out the Least Common Multiple of 9309 and 9314

Properties of GCF 9309 and 9314

(i) The GCF of 9309 and 9314 is associative

GCF of 9309 and 9314 = GCF of 9314 and 9309

Related Greatest Common Factor of 9309

Related Greatest Common Factor of 9314

Frequently Asked Questions on GCF of 9309 and 9314

1. What is the GCF of 9309 and 9314?

Answer: GCF of 9309 and 9314 is 1.

2. What are the Factors of 9309?

Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.

3. What are the Factors of 9314?

Answer: Factors of 9314 are 1, 2, 4657, 9314. There are 4 integers that are factors of 9314. The greatest factor of 9314 is 9314.

4. How to Find the GCF of 9309 and 9314?

Answer:

Greatest Common Factor of 9309 and 9314 = 1

Step 1: Find the prime factorization of 9309

9309 = 3 x 29 x 107

Step 2: Find the prime factorization of 9314

9314 = 2 x 4657

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 9309 and 9314 is 1