Greatest Common Factor of 3399 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 3399, 3400 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3399 and 3400 is 1.

GCF(3399,3400) = 1

GCF of 3399 and 3400

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

GCF of:
and

Greatest Common Factor of 3399 and 3400

GCF of 3399 and 3400 is 1

Prime Factorization of 3399


3 3399
11 1133
103 103
1

Prime factors of 3399 are 3,11,103. Prime factorization of 3399 in exponential form is:

3399 = 31×111×1031

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 3399 and 3400 is 1

Greatest Common Factor of 3399 and 3400 by matching factors method

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1,3,11,33,103,309,1133,3399

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 3399 and 3400. The biggest common factor number is the GCF number.
So the greatest common factor 3399 and 3400 is 1.

Also check out the Least Common Multiple of 3399 and 3400

Properties of GCF 3399 and 3400

(i) The GCF of 3399 and 3400 is associative

GCF of 3399 and 3400 = GCF of 3400 and 3399

Related Greatest Common Factor of 3399

Related Greatest Common Factor of 3400

Frequently Asked Questions on GCF of 3399 and 3400

1. What is the GCF of 3399 and 3400?

Answer: GCF of 3399 and 3400 is 1.

2. What are the Factors of 3399?

Answer: Factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399. There are 8 integers that are factors of 3399. The greatest factor of 3399 is 3399.

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 3399 and 3400?

Answer:

Greatest Common Factor of 3399 and 3400 = 1

Step 1: Find the prime factorization of 3399

3399 = 3 x 11 x 103

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 = = 1

Step 4: Therefore, the greatest common factor of 3399 and 3400 is 1