What is the Greatest Common Factor of 33578 and 33584?

Greatest common factor (GCF) of 33578 and 33584 is 2.

GCF(33578,33584) = 2

We will now calculate the prime factors of 33578 and 33584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33578 and 33584.

How to find the GCF of 33578 and 33584?

We will first find the prime factorization of 33578 and 33584. After we will calculate the factors of 33578 and 33584 and find the biggest common factor number .

Step-1: Prime Factorization of 33578

Prime factors of 33578 are 2, 103, 163. Prime factorization of 33578 in exponential form is:

33578 = 2¹ × 103¹ × 163¹

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 33578

List of positive integer factors of 33578 that divides 33578 without a remainder.

1, 2, 103, 163, 206, 326, 16789

Step-4: Factors of 33584

List of positive integer factors of 33584 that divides 33578 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 33578 and 33584. The biggest common factor number is the GCF number.
So the greatest common factor 33578 and 33584 is 2.

Also check out the Least Common Multiple of 33578 and 33584