Greatest Common Factor of 3400 and 3404

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 3400, 3404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3400 and 3404 is 4.

GCF(3400,3404) = 4

GCF of 3400 and 3404

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

GCF of:
and

Greatest Common Factor of 3400 and 3404

GCF of 3400 and 3404 is 4

Prime Factorization of 3400


2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 3400 are 2,5,17. Prime factorization of 3400 in exponential form is:

3400 = 23×52×171

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

∴ So by taking common prime factors GCF of 3400 and 3404 is 4

Greatest Common Factor of 3400 and 3404 by matching factors method

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

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

Greatest Common Factor

We found the factors and prime factorization of 3400 and 3404. The biggest common factor number is the GCF number.
So the greatest common factor 3400 and 3404 is 4.

Also check out the Least Common Multiple of 3400 and 3404

Properties of GCF 3400 and 3404

(i) The GCF of 3400 and 3404 is associative

GCF of 3400 and 3404 = GCF of 3404 and 3400

Related Greatest Common Factor of 3400

Related Greatest Common Factor of 3404

Frequently Asked Questions on GCF of 3400 and 3404

1. What is the GCF of 3400 and 3404?

Answer: GCF of 3400 and 3404 is 4.

2. What are the Factors of 3400?

Answer: Factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400. There are 24 integers that are factors of 3400. The greatest factor of 3400 is 3400.

3. 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.

4. How to Find the GCF of 3400 and 3404?

Answer:

Greatest Common Factor of 3400 and 3404 = 4

Step 1: Find the prime factorization of 3400

3400 = 2 x 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

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 3400 and 3404 is 4