Greatest Common Factor of 309402 and 309404

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, 309404 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309402 and 309404 is 2.

GCF(309402,309404) = 2

GCF of 309402 and 309404

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

GCF of:
and

Greatest Common Factor of 309402 and 309404

GCF of 309402 and 309404 is 2

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 309404


2 309404
2 154702
77351 77351
1

Prime factors of 309404 are 2,77351. Prime factorization of 309404 in exponential form is:

309404 = 22×773511

∴ So by taking common prime factors GCF of 309402 and 309404 is 2

Greatest Common Factor of 309402 and 309404 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 309404

List of positive integer factors of 309404 that divides 309404 without a remainder.

1,2,4,77351,154702,309404

Greatest Common Factor

We found the factors and prime factorization of 309402 and 309404. The biggest common factor number is the GCF number.
So the greatest common factor 309402 and 309404 is 2.

Also check out the Least Common Multiple of 309402 and 309404

Properties of GCF 309402 and 309404

(i) The GCF of 309402 and 309404 is associative

GCF of 309402 and 309404 = GCF of 309404 and 309402

Related Greatest Common Factor of 309402

Related Greatest Common Factor of 309404

Frequently Asked Questions on GCF of 309402 and 309404

1. What is the GCF of 309402 and 309404?

Answer: GCF of 309402 and 309404 is 2.

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 309404?

Answer: Factors of 309404 are 1, 2, 4, 77351, 154702, 309404. There are 6 integers that are factors of 309404. The greatest factor of 309404 is 309404.

4. How to Find the GCF of 309402 and 309404?

Answer:

Greatest Common Factor of 309402 and 309404 = 2

Step 1: Find the prime factorization of 309402

309402 = 2 x 3 x 3 x 17189

Step 2: Find the prime factorization of 309404

309404 = 2 x 2 x 77351

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

GCF = 2

Step 4: Therefore, the greatest common factor of 309402 and 309404 is 2