Greatest Common Factor of 309402 and 309405

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 309402, 309405 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309402 and 309405 is 3.

GCF(309402,309405) = 3

GCF of 309402 and 309405

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

GCF of:
and

Greatest Common Factor of 309402 and 309405

GCF of 309402 and 309405 is 3

Prime Factorization of 309402


2 309402
3 154701
3 51567
17189 17189
1

Prime factors of 309402 are 2,3,17189. Prime factorization of 309402 in exponential form is:

309402 = 21×32×171891

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

∴ So by taking common prime factors GCF of 309402 and 309405 is 3

Greatest Common Factor of 309402 and 309405 by matching factors method

Factors of 309402

List of positive integer factors of 309402 that divides 309402 without a remainder.

1,2,3,6,9,18,17189,34378,51567,103134,154701,309402

Factors of 309405

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

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

Greatest Common Factor

We found the factors and prime factorization of 309402 and 309405. The biggest common factor number is the GCF number.
So the greatest common factor 309402 and 309405 is 3.

Also check out the Least Common Multiple of 309402 and 309405

Properties of GCF 309402 and 309405

(i) The GCF of 309402 and 309405 is associative

GCF of 309402 and 309405 = GCF of 309405 and 309402

Related Greatest Common Factor of 309402

Related Greatest Common Factor of 309405

Frequently Asked Questions on GCF of 309402 and 309405

1. What is the GCF of 309402 and 309405?

Answer: GCF of 309402 and 309405 is 3.

2. What are the Factors of 309402?

Answer: Factors of 309402 are 1, 2, 3, 6, 9, 18, 17189, 34378, 51567, 103134, 154701, 309402. There are 12 integers that are factors of 309402. The greatest factor of 309402 is 309402.

3. 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.

4. How to Find the GCF of 309402 and 309405?

Answer:

Greatest Common Factor of 309402 and 309405 = 3

Step 1: Find the prime factorization of 309402

309402 = 2 x 3 x 3 x 17189

Step 2: Find the prime factorization of 309405

309405 = 3 x 5 x 20627

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 309402 and 309405 is 3