Greatest Common Factor of 10309 and 10314

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 10309, 10314 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10309 and 10314 is 1.

GCF(10309,10314) = 1

GCF of 10309 and 10314

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

GCF of:
and

Greatest Common Factor of 10309 and 10314

GCF of 10309 and 10314 is 1

Prime Factorization of 10309


13 10309
13 793
61 61
1

Prime factors of 10309 are 13,61. Prime factorization of 10309 in exponential form is:

10309 = 132×611

Prime Factorization of 10314


2 10314
3 5157
3 1719
3 573
191 191
1

Prime factors of 10314 are 2,3,191. Prime factorization of 10314 in exponential form is:

10314 = 21×33×1911

∴ So by taking common prime factors GCF of 10309 and 10314 is 1

Greatest Common Factor of 10309 and 10314 by matching factors method

Factors of 10309

List of positive integer factors of 10309 that divides 10309 without a remainder.

1,13,61,169,793,10309

Factors of 10314

List of positive integer factors of 10314 that divides 10314 without a remainder.

1,2,3,6,9,18,27,54,191,382,573,1146,1719,3438,5157,10314

Greatest Common Factor

We found the factors and prime factorization of 10309 and 10314. The biggest common factor number is the GCF number.
So the greatest common factor 10309 and 10314 is 1.

Also check out the Least Common Multiple of 10309 and 10314

Properties of GCF 10309 and 10314

(i) The GCF of 10309 and 10314 is associative

GCF of 10309 and 10314 = GCF of 10314 and 10309

Related Greatest Common Factor of 10309

Related Greatest Common Factor of 10314

Frequently Asked Questions on GCF of 10309 and 10314

1. What is the GCF of 10309 and 10314?

Answer: GCF of 10309 and 10314 is 1.

2. What are the Factors of 10309?

Answer: Factors of 10309 are 1, 13, 61, 169, 793, 10309. There are 6 integers that are factors of 10309. The greatest factor of 10309 is 10309.

3. What are the Factors of 10314?

Answer: Factors of 10314 are 1, 2, 3, 6, 9, 18, 27, 54, 191, 382, 573, 1146, 1719, 3438, 5157, 10314. There are 16 integers that are factors of 10314. The greatest factor of 10314 is 10314.

4. How to Find the GCF of 10309 and 10314?

Answer:

Greatest Common Factor of 10309 and 10314 = 1

Step 1: Find the prime factorization of 10309

10309 = 13 x 13 x 61

Step 2: Find the prime factorization of 10314

10314 = 2 x 3 x 3 x 3 x 191

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 10309 and 10314 is 1