What is the Greatest Common Factor of 33248 and 33256?

Greatest common factor (GCF) of 33248 and 33256 is 8.

GCF(33248,33256) = 8

We will now calculate the prime factors of 33248 and 33256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33248 and 33256.

How to find the GCF of 33248 and 33256?

We will first find the prime factorization of 33248 and 33256. After we will calculate the factors of 33248 and 33256 and find the biggest common factor number .

Step-1: Prime Factorization of 33248

Prime factors of 33248 are 2, 1039. Prime factorization of 33248 in exponential form is:

33248 = 2⁵ × 1039¹

Step-2: Prime Factorization of 33256

Prime factors of 33256 are 2, 4157. Prime factorization of 33256 in exponential form is:

33256 = 2³ × 4157¹

Step-3: Factors of 33248

List of positive integer factors of 33248 that divides 33248 without a remainder.

1, 2, 4, 8, 16, 32, 1039, 2078, 4156, 8312, 16624

Step-4: Factors of 33256

List of positive integer factors of 33256 that divides 33248 without a remainder.

1, 2, 4, 8, 4157, 8314, 16628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33248 and 33256. The biggest common factor number is the GCF number.
So the greatest common factor 33248 and 33256 is 8.

Also check out the Least Common Multiple of 33248 and 33256