Greatest Common Factor of 3392 and 3394

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 3392, 3394 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3392 and 3394 is 2.

GCF(3392,3394) = 2

GCF of 3392 and 3394

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

GCF of:
and

Greatest Common Factor of 3392 and 3394

GCF of 3392 and 3394 is 2

Prime Factorization of 3392


2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 3392 are 2,53. Prime factorization of 3392 in exponential form is:

3392 = 26×531

Prime Factorization of 3394


2 3394
1697 1697
1

Prime factors of 3394 are 2,1697. Prime factorization of 3394 in exponential form is:

3394 = 21×16971

∴ So by taking common prime factors GCF of 3392 and 3394 is 2

Greatest Common Factor of 3392 and 3394 by matching factors method

Factors of 3392

List of positive integer factors of 3392 that divides 3392 without a remainder.

1,2,4,8,16,32,53,64,106,212,424,848,1696,3392

Factors of 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1,2,1697,3394

Greatest Common Factor

We found the factors and prime factorization of 3392 and 3394. The biggest common factor number is the GCF number.
So the greatest common factor 3392 and 3394 is 2.

Also check out the Least Common Multiple of 3392 and 3394

Properties of GCF 3392 and 3394

(i) The GCF of 3392 and 3394 is associative

GCF of 3392 and 3394 = GCF of 3394 and 3392

Related Greatest Common Factor of 3392

Related Greatest Common Factor of 3394

Frequently Asked Questions on GCF of 3392 and 3394

1. What is the GCF of 3392 and 3394?

Answer: GCF of 3392 and 3394 is 2.

2. What are the Factors of 3392?

Answer: Factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392. There are 14 integers that are factors of 3392. The greatest factor of 3392 is 3392.

3. What are the Factors of 3394?

Answer: Factors of 3394 are 1, 2, 1697, 3394. There are 4 integers that are factors of 3394. The greatest factor of 3394 is 3394.

4. How to Find the GCF of 3392 and 3394?

Answer:

Greatest Common Factor of 3392 and 3394 = 2

Step 1: Find the prime factorization of 3392

3392 = 2 x 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 3394

3394 = 2 x 1697

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 3392 and 3394 is 2