What is the Greatest Common Factor of 33660 and 33665?

Greatest common factor (GCF) of 33660 and 33665 is 5.

GCF(33660,33665) = 5

We will now calculate the prime factors of 33660 and 33665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33660 and 33665.

How to find the GCF of 33660 and 33665?

We will first find the prime factorization of 33660 and 33665. After we will calculate the factors of 33660 and 33665 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 33665

Prime factors of 33665 are 5, 6733. Prime factorization of 33665 in exponential form is:

33665 = 5¹ × 6733¹

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 33665

List of positive integer factors of 33665 that divides 33660 without a remainder.

1, 5, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33660 and 33665. The biggest common factor number is the GCF number.
So the greatest common factor 33660 and 33665 is 5.

Also check out the Least Common Multiple of 33660 and 33665