Greatest Common Factor of 3360 and 3366

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 3360, 3366 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3360 and 3366 is 6.

GCF(3360,3366) = 6

GCF of 3360 and 3366

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

GCF of:
and

Greatest Common Factor of 3360 and 3366

GCF of 3360 and 3366 is 6

Prime Factorization of 3360


2 3360
2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 3360 are 2,3,5,7. Prime factorization of 3360 in exponential form is:

3360 = 25×31×51×71

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

∴ So by taking common prime factors GCF of 3360 and 3366 is 6

Greatest Common Factor of 3360 and 3366 by matching factors method

Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360

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

Greatest Common Factor

We found the factors and prime factorization of 3360 and 3366. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3366 is 6.

Also check out the Least Common Multiple of 3360 and 3366

Properties of GCF 3360 and 3366

(i) The GCF of 3360 and 3366 is associative

GCF of 3360 and 3366 = GCF of 3366 and 3360

Related Greatest Common Factor of 3360

Related Greatest Common Factor of 3366

Frequently Asked Questions on GCF of 3360 and 3366

1. What is the GCF of 3360 and 3366?

Answer: GCF of 3360 and 3366 is 6.

2. What are the Factors of 3360?

Answer: Factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. There are 48 integers that are factors of 3360. The greatest factor of 3360 is 3360.

3. 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.

4. How to Find the GCF of 3360 and 3366?

Answer:

Greatest Common Factor of 3360 and 3366 = 6

Step 1: Find the prime factorization of 3360

3360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 3366

3366 = 2 x 3 x 3 x 11 x 17

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 3360 and 3366 is 6