Greatest Common Factor of 3378 and 3386

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 3378, 3386 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3378 and 3386 is 2.

GCF(3378,3386) = 2

GCF of 3378 and 3386

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

GCF of:
and

Greatest Common Factor of 3378 and 3386

GCF of 3378 and 3386 is 2

Prime Factorization of 3378


2 3378
3 1689
563 563
1

Prime factors of 3378 are 2,3,563. Prime factorization of 3378 in exponential form is:

3378 = 21×31×5631

Prime Factorization of 3386


2 3386
1693 1693
1

Prime factors of 3386 are 2,1693. Prime factorization of 3386 in exponential form is:

3386 = 21×16931

∴ So by taking common prime factors GCF of 3378 and 3386 is 2

Greatest Common Factor of 3378 and 3386 by matching factors method

Factors of 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1,2,3,6,563,1126,1689,3378

Factors of 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1,2,1693,3386

Greatest Common Factor

We found the factors and prime factorization of 3378 and 3386. The biggest common factor number is the GCF number.
So the greatest common factor 3378 and 3386 is 2.

Also check out the Least Common Multiple of 3378 and 3386

Properties of GCF 3378 and 3386

(i) The GCF of 3378 and 3386 is associative

GCF of 3378 and 3386 = GCF of 3386 and 3378

Related Greatest Common Factor of 3378

Related Greatest Common Factor of 3386

Frequently Asked Questions on GCF of 3378 and 3386

1. What is the GCF of 3378 and 3386?

Answer: GCF of 3378 and 3386 is 2.

2. What are the Factors of 3378?

Answer: Factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378. There are 8 integers that are factors of 3378. The greatest factor of 3378 is 3378.

3. What are the Factors of 3386?

Answer: Factors of 3386 are 1, 2, 1693, 3386. There are 4 integers that are factors of 3386. The greatest factor of 3386 is 3386.

4. How to Find the GCF of 3378 and 3386?

Answer:

Greatest Common Factor of 3378 and 3386 = 2

Step 1: Find the prime factorization of 3378

3378 = 2 x 3 x 563

Step 2: Find the prime factorization of 3386

3386 = 2 x 1693

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 3378 and 3386 is 2