What is the Greatest Common Factor of 33633 and 33648?

Greatest common factor (GCF) of 33633 and 33648 is 3.

GCF(33633,33648) = 3

We will now calculate the prime factors of 33633 and 33648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33633 and 33648.

How to find the GCF of 33633 and 33648?

We will first find the prime factorization of 33633 and 33648. After we will calculate the factors of 33633 and 33648 and find the biggest common factor number .

Step-1: Prime Factorization of 33633

Prime factors of 33633 are 3, 37, 101. Prime factorization of 33633 in exponential form is:

33633 = 3² × 37¹ × 101¹

Step-2: 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-3: Factors of 33633

List of positive integer factors of 33633 that divides 33633 without a remainder.

1, 3, 9, 37, 101, 111, 303, 333, 909, 3737, 11211

Step-4: Factors of 33648

List of positive integer factors of 33648 that divides 33633 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33633 and 33648. The biggest common factor number is the GCF number.
So the greatest common factor 33633 and 33648 is 3.

Also check out the Least Common Multiple of 33633 and 33648