What is the Greatest Common Factor of 33216 and 33224?

Greatest common factor (GCF) of 33216 and 33224 is 8.

GCF(33216,33224) = 8

We will now calculate the prime factors of 33216 and 33224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33216 and 33224.

How to find the GCF of 33216 and 33224?

We will first find the prime factorization of 33216 and 33224. After we will calculate the factors of 33216 and 33224 and find the biggest common factor number .

Step-1: Prime Factorization of 33216

Prime factors of 33216 are 2, 3, 173. Prime factorization of 33216 in exponential form is:

33216 = 2⁶ × 3¹ × 173¹

Step-2: Prime Factorization of 33224

Prime factors of 33224 are 2, 4153. Prime factorization of 33224 in exponential form is:

33224 = 2³ × 4153¹

Step-3: Factors of 33216

List of positive integer factors of 33216 that divides 33216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608

Step-4: Factors of 33224

List of positive integer factors of 33224 that divides 33216 without a remainder.

1, 2, 4, 8, 4153, 8306, 16612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33216 and 33224. The biggest common factor number is the GCF number.
So the greatest common factor 33216 and 33224 is 8.

Also check out the Least Common Multiple of 33216 and 33224