What is the Greatest Common Factor of 33584 and 33590?

Greatest common factor (GCF) of 33584 and 33590 is 2.

GCF(33584,33590) = 2

We will now calculate the prime factors of 33584 and 33590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33584 and 33590.

How to find the GCF of 33584 and 33590?

We will first find the prime factorization of 33584 and 33590. After we will calculate the factors of 33584 and 33590 and find the biggest common factor number .

Step-1: Prime Factorization of 33584

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

33584 = 2⁴ × 2099¹

Step-2: Prime Factorization of 33590

Prime factors of 33590 are 2, 5, 3359. Prime factorization of 33590 in exponential form is:

33590 = 2¹ × 5¹ × 3359¹

Step-3: Factors of 33584

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

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

Step-4: Factors of 33590

List of positive integer factors of 33590 that divides 33584 without a remainder.

1, 2, 5, 10, 3359, 6718, 16795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33584 and 33590. The biggest common factor number is the GCF number.
So the greatest common factor 33584 and 33590 is 2.

Also check out the Least Common Multiple of 33584 and 33590