Greatest Common Factor of 3405 and 3411

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 3405, 3411 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3405 and 3411 is 3.

GCF(3405,3411) = 3

GCF of 3405 and 3411

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

GCF of:
and

Greatest Common Factor of 3405 and 3411

GCF of 3405 and 3411 is 3

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

Prime Factorization of 3411


3 3411
3 1137
379 379
1

Prime factors of 3411 are 3,379. Prime factorization of 3411 in exponential form is:

3411 = 32×3791

∴ So by taking common prime factors GCF of 3405 and 3411 is 3

Greatest Common Factor of 3405 and 3411 by matching factors method

Factors of 3405

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

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

Factors of 3411

List of positive integer factors of 3411 that divides 3411 without a remainder.

1,3,9,379,1137,3411

Greatest Common Factor

We found the factors and prime factorization of 3405 and 3411. The biggest common factor number is the GCF number.
So the greatest common factor 3405 and 3411 is 3.

Also check out the Least Common Multiple of 3405 and 3411

Properties of GCF 3405 and 3411

(i) The GCF of 3405 and 3411 is associative

GCF of 3405 and 3411 = GCF of 3411 and 3405

Related Greatest Common Factor of 3405

Related Greatest Common Factor of 3411

Frequently Asked Questions on GCF of 3405 and 3411

1. What is the GCF of 3405 and 3411?

Answer: GCF of 3405 and 3411 is 3.

2. 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.

3. What are the Factors of 3411?

Answer: Factors of 3411 are 1, 3, 9, 379, 1137, 3411. There are 6 integers that are factors of 3411. The greatest factor of 3411 is 3411.

4. How to Find the GCF of 3405 and 3411?

Answer:

Greatest Common Factor of 3405 and 3411 = 3

Step 1: Find the prime factorization of 3405

3405 = 3 x 5 x 227

Step 2: Find the prime factorization of 3411

3411 = 3 x 3 x 379

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3405 and 3411 is 3