Greatest Common Factor of 309407 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 309407, 309413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309407 and 309413 is 1.

GCF(309407,309413) = 1

GCF of 309407 and 309413

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

GCF of:
and

Greatest Common Factor of 309407 and 309413

GCF of 309407 and 309413 is 1

Prime Factorization of 309407


7 309407
44201 44201
1

Prime factors of 309407 are 7,44201. Prime factorization of 309407 in exponential form is:

309407 = 71×442011

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 309407 and 309413 is 1

Greatest Common Factor of 309407 and 309413 by matching factors method

Factors of 309407

List of positive integer factors of 309407 that divides 309407 without a remainder.

1,7,44201,309407

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 309407 and 309413. The biggest common factor number is the GCF number.
So the greatest common factor 309407 and 309413 is 1.

Also check out the Least Common Multiple of 309407 and 309413

Properties of GCF 309407 and 309413

(i) The GCF of 309407 and 309413 is associative

GCF of 309407 and 309413 = GCF of 309413 and 309407

Related Greatest Common Factor of 309407

Related Greatest Common Factor of 309413

Frequently Asked Questions on GCF of 309407 and 309413

1. What is the GCF of 309407 and 309413?

Answer: GCF of 309407 and 309413 is 1.

2. What are the Factors of 309407?

Answer: Factors of 309407 are 1, 7, 44201, 309407. There are 4 integers that are factors of 309407. The greatest factor of 309407 is 309407.

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 309407 and 309413?

Answer:

Greatest Common Factor of 309407 and 309413 = 1

Step 1: Find the prime factorization of 309407

309407 = 7 x 44201

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 309407 and 309413 is 1