Greatest Common Factor of 3381 and 3387

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 3381, 3387 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3381 and 3387 is 3.

GCF(3381,3387) = 3

GCF of 3381 and 3387

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

GCF of:
and

Greatest Common Factor of 3381 and 3387

GCF of 3381 and 3387 is 3

Prime Factorization of 3381


3 3381
7 1127
7 161
23 23
1

Prime factors of 3381 are 3,7,23. Prime factorization of 3381 in exponential form is:

3381 = 31×72×231

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

∴ So by taking common prime factors GCF of 3381 and 3387 is 3

Greatest Common Factor of 3381 and 3387 by matching factors method

Factors of 3381

List of positive integer factors of 3381 that divides 3381 without a remainder.

1,3,7,21,23,49,69,147,161,483,1127,3381

Factors of 3387

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

1,3,1129,3387

Greatest Common Factor

We found the factors and prime factorization of 3381 and 3387. The biggest common factor number is the GCF number.
So the greatest common factor 3381 and 3387 is 3.

Also check out the Least Common Multiple of 3381 and 3387

Properties of GCF 3381 and 3387

(i) The GCF of 3381 and 3387 is associative

GCF of 3381 and 3387 = GCF of 3387 and 3381

Related Greatest Common Factor of 3381

Related Greatest Common Factor of 3387

Frequently Asked Questions on GCF of 3381 and 3387

1. What is the GCF of 3381 and 3387?

Answer: GCF of 3381 and 3387 is 3.

2. What are the Factors of 3381?

Answer: Factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381. There are 12 integers that are factors of 3381. The greatest factor of 3381 is 3381.

3. 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.

4. How to Find the GCF of 3381 and 3387?

Answer:

Greatest Common Factor of 3381 and 3387 = 3

Step 1: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 3387

3387 = 3 x 1129

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 3381 and 3387 is 3