Greatest Common Factor of 3366 and 3369

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 3366, 3369 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3366 and 3369 is 3.

GCF(3366,3369) = 3

GCF of 3366 and 3369

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

GCF of:
and

Greatest Common Factor of 3366 and 3369

GCF of 3366 and 3369 is 3

Prime Factorization of 3366


2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 3366 are 2,3,11,17. Prime factorization of 3366 in exponential form is:

3366 = 21×32×111×171

Prime Factorization of 3369


3 3369
1123 1123
1

Prime factors of 3369 are 3,1123. Prime factorization of 3369 in exponential form is:

3369 = 31×11231

∴ So by taking common prime factors GCF of 3366 and 3369 is 3

Greatest Common Factor of 3366 and 3369 by matching factors method

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Factors of 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1,3,1123,3369

Greatest Common Factor

We found the factors and prime factorization of 3366 and 3369. The biggest common factor number is the GCF number.
So the greatest common factor 3366 and 3369 is 3.

Also check out the Least Common Multiple of 3366 and 3369

Properties of GCF 3366 and 3369

(i) The GCF of 3366 and 3369 is associative

GCF of 3366 and 3369 = GCF of 3369 and 3366

Related Greatest Common Factor of 3366

Related Greatest Common Factor of 3369

Frequently Asked Questions on GCF of 3366 and 3369

1. What is the GCF of 3366 and 3369?

Answer: GCF of 3366 and 3369 is 3.

2. What are the Factors of 3366?

Answer: Factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. There are 24 integers that are factors of 3366. The greatest factor of 3366 is 3366.

3. What are the Factors of 3369?

Answer: Factors of 3369 are 1, 3, 1123, 3369. There are 4 integers that are factors of 3369. The greatest factor of 3369 is 3369.

4. How to Find the GCF of 3366 and 3369?

Answer:

Greatest Common Factor of 3366 and 3369 = 3

Step 1: Find the prime factorization of 3366

3366 = 2 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 3369

3369 = 3 x 1123

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 3366 and 3369 is 3