Greatest Common Factor of 3387 and 3393

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 3387, 3393 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3387 and 3393 is 3.

GCF(3387,3393) = 3

GCF of 3387 and 3393

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

GCF of:
and

Greatest Common Factor of 3387 and 3393

GCF of 3387 and 3393 is 3

Prime Factorization of 3387


3 3387
1129 1129
1

Prime factors of 3387 are 3,1129. Prime factorization of 3387 in exponential form is:

3387 = 31×11291

Prime Factorization of 3393


3 3393
3 1131
13 377
29 29
1

Prime factors of 3393 are 3,13,29. Prime factorization of 3393 in exponential form is:

3393 = 32×131×291

∴ So by taking common prime factors GCF of 3387 and 3393 is 3

Greatest Common Factor of 3387 and 3393 by matching factors method

Factors of 3387

List of positive integer factors of 3387 that divides 3387 without a remainder.

1,3,1129,3387

Factors of 3393

List of positive integer factors of 3393 that divides 3393 without a remainder.

1,3,9,13,29,39,87,117,261,377,1131,3393

Greatest Common Factor

We found the factors and prime factorization of 3387 and 3393. The biggest common factor number is the GCF number.
So the greatest common factor 3387 and 3393 is 3.

Also check out the Least Common Multiple of 3387 and 3393

Properties of GCF 3387 and 3393

(i) The GCF of 3387 and 3393 is associative

GCF of 3387 and 3393 = GCF of 3393 and 3387

Related Greatest Common Factor of 3387

Related Greatest Common Factor of 3393

Frequently Asked Questions on GCF of 3387 and 3393

1. What is the GCF of 3387 and 3393?

Answer: GCF of 3387 and 3393 is 3.

2. What are the Factors of 3387?

Answer: Factors of 3387 are 1, 3, 1129, 3387. There are 4 integers that are factors of 3387. The greatest factor of 3387 is 3387.

3. What are the Factors of 3393?

Answer: Factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393. There are 12 integers that are factors of 3393. The greatest factor of 3393 is 3393.

4. How to Find the GCF of 3387 and 3393?

Answer:

Greatest Common Factor of 3387 and 3393 = 3

Step 1: Find the prime factorization of 3387

3387 = 3 x 1129

Step 2: Find the prime factorization of 3393

3393 = 3 x 3 x 13 x 29

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 3387 and 3393 is 3