What is the Greatest Common Factor of 33660 and 33677?

Greatest common factor (GCF) of 33660 and 33677 is 17.

GCF(33660,33677) = 17

We will now calculate the prime factors of 33660 and 33677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33660 and 33677.

How to find the GCF of 33660 and 33677?

We will first find the prime factorization of 33660 and 33677. After we will calculate the factors of 33660 and 33677 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 33677

Prime factors of 33677 are 7, 17, 283. Prime factorization of 33677 in exponential form is:

33677 = 7¹ × 17¹ × 283¹

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 33677

List of positive integer factors of 33677 that divides 33660 without a remainder.

1, 7, 17, 119, 283, 1981, 4811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33660 and 33677. The biggest common factor number is the GCF number.
So the greatest common factor 33660 and 33677 is 17.

Also check out the Least Common Multiple of 33660 and 33677