Greatest Common Factor of 3406 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 3406, 3412 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3406 and 3412 is 2.

GCF(3406,3412) = 2

GCF of 3406 and 3412

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

GCF of:
and

Greatest Common Factor of 3406 and 3412

GCF of 3406 and 3412 is 2

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

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 3406 and 3412 is 2

Greatest Common Factor of 3406 and 3412 by matching factors method

Factors of 3406

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

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

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 3406 and 3412. The biggest common factor number is the GCF number.
So the greatest common factor 3406 and 3412 is 2.

Also check out the Least Common Multiple of 3406 and 3412

Properties of GCF 3406 and 3412

(i) The GCF of 3406 and 3412 is associative

GCF of 3406 and 3412 = GCF of 3412 and 3406

Related Greatest Common Factor of 3406

Related Greatest Common Factor of 3412

Frequently Asked Questions on GCF of 3406 and 3412

1. What is the GCF of 3406 and 3412?

Answer: GCF of 3406 and 3412 is 2.

2. 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.

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 3406 and 3412?

Answer:

Greatest Common Factor of 3406 and 3412 = 2

Step 1: Find the prime factorization of 3406

3406 = 2 x 13 x 131

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

Step 4: Therefore, the greatest common factor of 3406 and 3412 is 2