What is the Greatest Common Factor of 33648 and 33652?

Greatest common factor (GCF) of 33648 and 33652 is 4.

GCF(33648,33652) = 4

We will now calculate the prime factors of 33648 and 33652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33648 and 33652.

How to find the GCF of 33648 and 33652?

We will first find the prime factorization of 33648 and 33652. After we will calculate the factors of 33648 and 33652 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 33652

Prime factors of 33652 are 2, 47, 179. Prime factorization of 33652 in exponential form is:

33652 = 2² × 47¹ × 179¹

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 33652

List of positive integer factors of 33652 that divides 33648 without a remainder.

1, 2, 4, 47, 94, 179, 188, 358, 716, 8413, 16826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33648 and 33652. The biggest common factor number is the GCF number.
So the greatest common factor 33648 and 33652 is 4.

Also check out the Least Common Multiple of 33648 and 33652