Greatest Common Factor of 309404 and 309412

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 309404, 309412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309404 and 309412 is 4.

GCF(309404,309412) = 4

GCF of 309404 and 309412

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

GCF of:
and

Greatest Common Factor of 309404 and 309412

GCF of 309404 and 309412 is 4

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

Prime Factorization of 309412


2 309412
2 154706
103 77353
751 751
1

Prime factors of 309412 are 2,103,751. Prime factorization of 309412 in exponential form is:

309412 = 22×1031×7511

∴ So by taking common prime factors GCF of 309404 and 309412 is 4

Greatest Common Factor of 309404 and 309412 by matching factors method

Factors of 309404

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

1,2,4,77351,154702,309404

Factors of 309412

List of positive integer factors of 309412 that divides 309412 without a remainder.

1,2,4,103,206,412,751,1502,3004,77353,154706,309412

Greatest Common Factor

We found the factors and prime factorization of 309404 and 309412. The biggest common factor number is the GCF number.
So the greatest common factor 309404 and 309412 is 4.

Also check out the Least Common Multiple of 309404 and 309412

Properties of GCF 309404 and 309412

(i) The GCF of 309404 and 309412 is associative

GCF of 309404 and 309412 = GCF of 309412 and 309404

Related Greatest Common Factor of 309404

Related Greatest Common Factor of 309412

Frequently Asked Questions on GCF of 309404 and 309412

1. What is the GCF of 309404 and 309412?

Answer: GCF of 309404 and 309412 is 4.

2. 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.

3. What are the Factors of 309412?

Answer: Factors of 309412 are 1, 2, 4, 103, 206, 412, 751, 1502, 3004, 77353, 154706, 309412. There are 12 integers that are factors of 309412. The greatest factor of 309412 is 309412.

4. How to Find the GCF of 309404 and 309412?

Answer:

Greatest Common Factor of 309404 and 309412 = 4

Step 1: Find the prime factorization of 309404

309404 = 2 x 2 x 77351

Step 2: Find the prime factorization of 309412

309412 = 2 x 2 x 103 x 751

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 309404 and 309412 is 4