What is the Greatest Common Factor of 33568 and 33584?

Greatest common factor (GCF) of 33568 and 33584 is 16.

GCF(33568,33584) = 16

We will now calculate the prime factors of 33568 and 33584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33568 and 33584.

How to find the GCF of 33568 and 33584?

We will first find the prime factorization of 33568 and 33584. After we will calculate the factors of 33568 and 33584 and find the biggest common factor number .

Step-1: Prime Factorization of 33568

Prime factors of 33568 are 2, 1049. Prime factorization of 33568 in exponential form is:

33568 = 2⁵ × 1049¹

Step-2: Prime Factorization of 33584

Prime factors of 33584 are 2, 2099. Prime factorization of 33584 in exponential form is:

33584 = 2⁴ × 2099¹

Step-3: Factors of 33568

List of positive integer factors of 33568 that divides 33568 without a remainder.

1, 2, 4, 8, 16, 32, 1049, 2098, 4196, 8392, 16784

Step-4: Factors of 33584

List of positive integer factors of 33584 that divides 33568 without a remainder.

1, 2, 4, 8, 16, 2099, 4198, 8396, 16792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33568 and 33584. The biggest common factor number is the GCF number.
So the greatest common factor 33568 and 33584 is 16.

Also check out the Least Common Multiple of 33568 and 33584