Greatest Common Factor of 3400 and 3405

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, 3405 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3400 and 3405 is 5.

GCF(3400,3405) = 5

GCF of 3400 and 3405

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

GCF of:
and

Greatest Common Factor of 3400 and 3405

GCF of 3400 and 3405 is 5

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 3405


3 3405
5 1135
227 227
1

Prime factors of 3405 are 3,5,227. Prime factorization of 3405 in exponential form is:

3405 = 31×51×2271

∴ So by taking common prime factors GCF of 3400 and 3405 is 5

Greatest Common Factor of 3400 and 3405 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 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1,3,5,15,227,681,1135,3405

Greatest Common Factor

We found the factors and prime factorization of 3400 and 3405. The biggest common factor number is the GCF number.
So the greatest common factor 3400 and 3405 is 5.

Also check out the Least Common Multiple of 3400 and 3405

Properties of GCF 3400 and 3405

(i) The GCF of 3400 and 3405 is associative

GCF of 3400 and 3405 = GCF of 3405 and 3400

Related Greatest Common Factor of 3400

Related Greatest Common Factor of 3405

Frequently Asked Questions on GCF of 3400 and 3405

1. What is the GCF of 3400 and 3405?

Answer: GCF of 3400 and 3405 is 5.

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 3405?

Answer: Factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405. There are 8 integers that are factors of 3405. The greatest factor of 3405 is 3405.

4. How to Find the GCF of 3400 and 3405?

Answer:

Greatest Common Factor of 3400 and 3405 = 5

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 3405

3405 = 3 x 5 x 227

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3400 and 3405 is 5