What is the Greatest Common Factor of 33288 and 33296?

Greatest common factor (GCF) of 33288 and 33296 is 8.

GCF(33288,33296) = 8

We will now calculate the prime factors of 33288 and 33296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33288 and 33296.

How to find the GCF of 33288 and 33296?

We will first find the prime factorization of 33288 and 33296. After we will calculate the factors of 33288 and 33296 and find the biggest common factor number .

Step-1: Prime Factorization of 33288

Prime factors of 33288 are 2, 3, 19, 73. Prime factorization of 33288 in exponential form is:

33288 = 2³ × 3¹ × 19¹ × 73¹

Step-2: Prime Factorization of 33296

Prime factors of 33296 are 2, 2081. Prime factorization of 33296 in exponential form is:

33296 = 2⁴ × 2081¹

Step-3: Factors of 33288

List of positive integer factors of 33288 that divides 33288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 73, 76, 114, 146, 152, 219, 228, 292, 438, 456, 584, 876, 1387, 1752, 2774, 4161, 5548, 8322, 11096, 16644

Step-4: Factors of 33296

List of positive integer factors of 33296 that divides 33288 without a remainder.

1, 2, 4, 8, 16, 2081, 4162, 8324, 16648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33288 and 33296. The biggest common factor number is the GCF number.
So the greatest common factor 33288 and 33296 is 8.

Also check out the Least Common Multiple of 33288 and 33296