Greatest Common Factor of 3394 and 3400

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 3394, 3400 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3394 and 3400 is 2.

GCF(3394,3400) = 2

GCF of 3394 and 3400

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

GCF of:
and

Greatest Common Factor of 3394 and 3400

GCF of 3394 and 3400 is 2

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

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

∴ So by taking common prime factors GCF of 3394 and 3400 is 2

Greatest Common Factor of 3394 and 3400 by matching factors method

Factors of 3394

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

1,2,1697,3394

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

Greatest Common Factor

We found the factors and prime factorization of 3394 and 3400. The biggest common factor number is the GCF number.
So the greatest common factor 3394 and 3400 is 2.

Also check out the Least Common Multiple of 3394 and 3400

Properties of GCF 3394 and 3400

(i) The GCF of 3394 and 3400 is associative

GCF of 3394 and 3400 = GCF of 3400 and 3394

Related Greatest Common Factor of 3394

Related Greatest Common Factor of 3400

Frequently Asked Questions on GCF of 3394 and 3400

1. What is the GCF of 3394 and 3400?

Answer: GCF of 3394 and 3400 is 2.

2. 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.

3. 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.

4. How to Find the GCF of 3394 and 3400?

Answer:

Greatest Common Factor of 3394 and 3400 = 2

Step 1: Find the prime factorization of 3394

3394 = 2 x 1697

Step 2: Find the prime factorization of 3400

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

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 3394 and 3400 is 2