What is the Greatest Common Factor of 33216 and 33233?

Greatest common factor (GCF) of 33216 and 33233 is 1.

GCF(33216,33233) = 1

We will now calculate the prime factors of 33216 and 33233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33216 and 33233.

How to find the GCF of 33216 and 33233?

We will first find the prime factorization of 33216 and 33233. After we will calculate the factors of 33216 and 33233 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 33233

Prime factors of 33233 are 167, 199. Prime factorization of 33233 in exponential form is:

33233 = 167¹ × 199¹

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 33233

List of positive integer factors of 33233 that divides 33216 without a remainder.

1, 167, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33216 and 33233. The biggest common factor number is the GCF number.
So the greatest common factor 33216 and 33233 is 1.

Also check out the Least Common Multiple of 33216 and 33233