What is the Greatest Common Factor of 33660 and 33678?

Greatest common factor (GCF) of 33660 and 33678 is 18.

GCF(33660,33678) = 18

We will now calculate the prime factors of 33660 and 33678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33660 and 33678.

How to find the GCF of 33660 and 33678?

We will first find the prime factorization of 33660 and 33678. After we will calculate the factors of 33660 and 33678 and find the biggest common factor number .

Step-1: Prime Factorization of 33660

Prime factors of 33660 are 2, 3, 5, 11, 17. Prime factorization of 33660 in exponential form is:

33660 = 2² × 3² × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 33678

Prime factors of 33678 are 2, 3, 1871. Prime factorization of 33678 in exponential form is:

33678 = 2¹ × 3² × 1871¹

Step-3: Factors of 33660

List of positive integer factors of 33660 that divides 33660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 17, 18, 20, 22, 30, 33, 34, 36, 44, 45, 51, 55, 60, 66, 68, 85, 90, 99, 102, 110, 132, 153, 165, 170, 180, 187, 198, 204, 220, 255, 306, 330, 340, 374, 396, 495, 510, 561, 612, 660, 748, 765, 935, 990, 1020, 1122, 1530, 1683, 1870, 1980, 2244, 2805, 3060, 3366, 3740, 5610, 6732, 8415, 11220, 16830

Step-4: Factors of 33678

List of positive integer factors of 33678 that divides 33660 without a remainder.

1, 2, 3, 6, 9, 18, 1871, 3742, 5613, 11226, 16839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33660 and 33678. The biggest common factor number is the GCF number.
So the greatest common factor 33660 and 33678 is 18.

Also check out the Least Common Multiple of 33660 and 33678