What is the Greatest Common Factor of 3360 and 3366?

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

GCF(3360,3366) = 6

We will now calculate the prime factors of 3360 and 3366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3360 and 3366.

How to find the GCF of 3360 and 3366?

We will first find the prime factorization of 3360 and 3366. After we will calculate the factors of 3360 and 3366 and find the biggest common factor number .

Step-1: Prime Factorization of 3360

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

3360 = 2⁵ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 3366

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

3366 = 2¹ × 3² × 11¹ × 17¹

Step-3: 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

Step-4: Factors of 3366

List of positive integer factors of 3366 that divides 3360 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

Final Step: Biggest Common Factor Number

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