Greatest Common Factor of 3404 and 3412

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, 3412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3404 and 3412 is 4.

GCF(3404,3412) = 4

GCF of 3404 and 3412

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

GCF of:
and

Greatest Common Factor of 3404 and 3412

GCF of 3404 and 3412 is 4

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 3412


2 3412
2 1706
853 853
1

Prime factors of 3412 are 2,853. Prime factorization of 3412 in exponential form is:

3412 = 22×8531

∴ So by taking common prime factors GCF of 3404 and 3412 is 4

Greatest Common Factor of 3404 and 3412 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 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1,2,4,853,1706,3412

Greatest Common Factor

We found the factors and prime factorization of 3404 and 3412. The biggest common factor number is the GCF number.
So the greatest common factor 3404 and 3412 is 4.

Also check out the Least Common Multiple of 3404 and 3412

Properties of GCF 3404 and 3412

(i) The GCF of 3404 and 3412 is associative

GCF of 3404 and 3412 = GCF of 3412 and 3404

Related Greatest Common Factor of 3404

Related Greatest Common Factor of 3412

Frequently Asked Questions on GCF of 3404 and 3412

1. What is the GCF of 3404 and 3412?

Answer: GCF of 3404 and 3412 is 4.

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 3412?

Answer: Factors of 3412 are 1, 2, 4, 853, 1706, 3412. There are 6 integers that are factors of 3412. The greatest factor of 3412 is 3412.

4. How to Find the GCF of 3404 and 3412?

Answer:

Greatest Common Factor of 3404 and 3412 = 4

Step 1: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 3412

3412 = 2 x 2 x 853

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 3404 and 3412 is 4