What is the Greatest Common Factor of 33648 and 33663?

Greatest common factor (GCF) of 33648 and 33663 is 3.

GCF(33648,33663) = 3

We will now calculate the prime factors of 33648 and 33663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33648 and 33663.

How to find the GCF of 33648 and 33663?

We will first find the prime factorization of 33648 and 33663. After we will calculate the factors of 33648 and 33663 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 33663

Prime factors of 33663 are 3, 7, 229. Prime factorization of 33663 in exponential form is:

33663 = 3¹ × 7² × 229¹

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 33663

List of positive integer factors of 33663 that divides 33648 without a remainder.

1, 3, 7, 21, 49, 147, 229, 687, 1603, 4809, 11221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33648 and 33663. The biggest common factor number is the GCF number.
So the greatest common factor 33648 and 33663 is 3.

Also check out the Least Common Multiple of 33648 and 33663