What is the Greatest Common Factor of 33640 and 33660?

Greatest common factor (GCF) of 33640 and 33660 is 20.

GCF(33640,33660) = 20

We will now calculate the prime factors of 33640 and 33660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33640 and 33660.

How to find the GCF of 33640 and 33660?

We will first find the prime factorization of 33640 and 33660. After we will calculate the factors of 33640 and 33660 and find the biggest common factor number .

Step-1: Prime Factorization of 33640

Prime factors of 33640 are 2, 5, 29. Prime factorization of 33640 in exponential form is:

33640 = 2³ × 5¹ × 29²

Step-2: 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-3: Factors of 33640

List of positive integer factors of 33640 that divides 33640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 841, 1160, 1682, 3364, 4205, 6728, 8410, 16820

Step-4: Factors of 33660

List of positive integer factors of 33660 that divides 33640 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33640 and 33660. The biggest common factor number is the GCF number.
So the greatest common factor 33640 and 33660 is 20.

Also check out the Least Common Multiple of 33640 and 33660