What is the Greatest Common Factor of 33648 and 33660?

Greatest common factor (GCF) of 33648 and 33660 is 12.

GCF(33648,33660) = 12

We will now calculate the prime factors of 33648 and 33660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33648 and 33660.

How to find the GCF of 33648 and 33660?

We will first find the prime factorization of 33648 and 33660. After we will calculate the factors of 33648 and 33660 and find the biggest common factor number .

Step-1: Prime Factorization of 33648

Prime factors of 33648 are 2, 3, 701. Prime factorization of 33648 in exponential form is:

33648 = 2⁴ × 3¹ × 701¹

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 33648

List of positive integer factors of 33648 that divides 33648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 701, 1402, 2103, 2804, 4206, 5608, 8412, 11216, 16824

Step-4: Factors of 33660

List of positive integer factors of 33660 that divides 33648 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 33648 and 33660. The biggest common factor number is the GCF number.
So the greatest common factor 33648 and 33660 is 12.

Also check out the Least Common Multiple of 33648 and 33660