Greatest Common Factor of 3404 and 3406

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 3404, 3406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3404 and 3406 is 2.

GCF(3404,3406) = 2

GCF of 3404 and 3406

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

GCF of:
and

Greatest Common Factor of 3404 and 3406

GCF of 3404 and 3406 is 2

Prime Factorization of 3404


2 3404
2 1702
23 851
37 37
1

Prime factors of 3404 are 2,23,37. Prime factorization of 3404 in exponential form is:

3404 = 22×231×371

Prime Factorization of 3406


2 3406
13 1703
131 131
1

Prime factors of 3406 are 2,13,131. Prime factorization of 3406 in exponential form is:

3406 = 21×131×1311

∴ So by taking common prime factors GCF of 3404 and 3406 is 2

Greatest Common Factor of 3404 and 3406 by matching factors method

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1,2,4,23,37,46,74,92,148,851,1702,3404

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Greatest Common Factor

We found the factors and prime factorization of 3404 and 3406. The biggest common factor number is the GCF number.
So the greatest common factor 3404 and 3406 is 2.

Also check out the Least Common Multiple of 3404 and 3406

Properties of GCF 3404 and 3406

(i) The GCF of 3404 and 3406 is associative

GCF of 3404 and 3406 = GCF of 3406 and 3404

Related Greatest Common Factor of 3404

Related Greatest Common Factor of 3406

Frequently Asked Questions on GCF of 3404 and 3406

1. What is the GCF of 3404 and 3406?

Answer: GCF of 3404 and 3406 is 2.

2. What are the Factors of 3404?

Answer: Factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404. There are 12 integers that are factors of 3404. The greatest factor of 3404 is 3404.

3. What are the Factors of 3406?

Answer: Factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406. There are 8 integers that are factors of 3406. The greatest factor of 3406 is 3406.

4. How to Find the GCF of 3404 and 3406?

Answer:

Greatest Common Factor of 3404 and 3406 = 2

Step 1: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 3406

3406 = 2 x 13 x 131

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 3404 and 3406 is 2