Greatest Common Factor of 3366 and 3372

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, 3372 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3366 and 3372 is 6.

GCF(3366,3372) = 6

GCF of 3366 and 3372

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

GCF of:
and

Greatest Common Factor of 3366 and 3372

GCF of 3366 and 3372 is 6

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 3372


2 3372
2 1686
3 843
281 281
1

Prime factors of 3372 are 2,3,281. Prime factorization of 3372 in exponential form is:

3372 = 22×31×2811

∴ So by taking common prime factors GCF of 3366 and 3372 is 6

Greatest Common Factor of 3366 and 3372 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 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1,2,3,4,6,12,281,562,843,1124,1686,3372

Greatest Common Factor

We found the factors and prime factorization of 3366 and 3372. The biggest common factor number is the GCF number.
So the greatest common factor 3366 and 3372 is 6.

Also check out the Least Common Multiple of 3366 and 3372

Properties of GCF 3366 and 3372

(i) The GCF of 3366 and 3372 is associative

GCF of 3366 and 3372 = GCF of 3372 and 3366

Related Greatest Common Factor of 3366

Related Greatest Common Factor of 3372

Frequently Asked Questions on GCF of 3366 and 3372

1. What is the GCF of 3366 and 3372?

Answer: GCF of 3366 and 3372 is 6.

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 3372?

Answer: Factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372. There are 12 integers that are factors of 3372. The greatest factor of 3372 is 3372.

4. How to Find the GCF of 3366 and 3372?

Answer:

Greatest Common Factor of 3366 and 3372 = 6

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 3372

3372 = 2 x 2 x 3 x 281

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3366 and 3372 is 6