Greatest Common Factor of 309405 and 309413

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 309405, 309413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309405 and 309413 is 1.

GCF(309405,309413) = 1

GCF of 309405 and 309413

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

GCF of:
and

Greatest Common Factor of 309405 and 309413

GCF of 309405 and 309413 is 1

Prime Factorization of 309405


3 309405
5 103135
20627 20627
1

Prime factors of 309405 are 3,5,20627. Prime factorization of 309405 in exponential form is:

309405 = 31×51×206271

Prime Factorization of 309413


13 309413
23801 23801
1

Prime factors of 309413 are 13,23801. Prime factorization of 309413 in exponential form is:

309413 = 131×238011

∴ So by taking common prime factors GCF of 309405 and 309413 is 1

Greatest Common Factor of 309405 and 309413 by matching factors method

Factors of 309405

List of positive integer factors of 309405 that divides 309405 without a remainder.

1,3,5,15,20627,61881,103135,309405

Factors of 309413

List of positive integer factors of 309413 that divides 309413 without a remainder.

1,13,23801,309413

Greatest Common Factor

We found the factors and prime factorization of 309405 and 309413. The biggest common factor number is the GCF number.
So the greatest common factor 309405 and 309413 is 1.

Also check out the Least Common Multiple of 309405 and 309413

Properties of GCF 309405 and 309413

(i) The GCF of 309405 and 309413 is associative

GCF of 309405 and 309413 = GCF of 309413 and 309405

Related Greatest Common Factor of 309405

Related Greatest Common Factor of 309413

Frequently Asked Questions on GCF of 309405 and 309413

1. What is the GCF of 309405 and 309413?

Answer: GCF of 309405 and 309413 is 1.

2. What are the Factors of 309405?

Answer: Factors of 309405 are 1, 3, 5, 15, 20627, 61881, 103135, 309405. There are 8 integers that are factors of 309405. The greatest factor of 309405 is 309405.

3. What are the Factors of 309413?

Answer: Factors of 309413 are 1, 13, 23801, 309413. There are 4 integers that are factors of 309413. The greatest factor of 309413 is 309413.

4. How to Find the GCF of 309405 and 309413?

Answer:

Greatest Common Factor of 309405 and 309413 = 1

Step 1: Find the prime factorization of 309405

309405 = 3 x 5 x 20627

Step 2: Find the prime factorization of 309413

309413 = 13 x 23801

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 309405 and 309413 is 1