What is the Greatest Common Factor of 33238 and 33256?

Greatest common factor (GCF) of 33238 and 33256 is 2.

GCF(33238,33256) = 2

We will now calculate the prime factors of 33238 and 33256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33238 and 33256.

How to find the GCF of 33238 and 33256?

We will first find the prime factorization of 33238 and 33256. After we will calculate the factors of 33238 and 33256 and find the biggest common factor number .

Step-1: Prime Factorization of 33238

Prime factors of 33238 are 2, 16619. Prime factorization of 33238 in exponential form is:

33238 = 2¹ × 16619¹

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 33238

List of positive integer factors of 33238 that divides 33238 without a remainder.

1, 2, 16619

Step-4: Factors of 33256

List of positive integer factors of 33256 that divides 33238 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33238 and 33256. The biggest common factor number is the GCF number.
So the greatest common factor 33238 and 33256 is 2.

Also check out the Least Common Multiple of 33238 and 33256