What is the Greatest Common Factor of 33882 and 33896?

Greatest common factor (GCF) of 33882 and 33896 is 2.

GCF(33882,33896) = 2

We will now calculate the prime factors of 33882 and 33896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33882 and 33896.

How to find the GCF of 33882 and 33896?

We will first find the prime factorization of 33882 and 33896. After we will calculate the factors of 33882 and 33896 and find the biggest common factor number .

Step-1: Prime Factorization of 33882

Prime factors of 33882 are 2, 3, 5647. Prime factorization of 33882 in exponential form is:

33882 = 2¹ × 3¹ × 5647¹

Step-2: Prime Factorization of 33896

Prime factors of 33896 are 2, 19, 223. Prime factorization of 33896 in exponential form is:

33896 = 2³ × 19¹ × 223¹

Step-3: Factors of 33882

List of positive integer factors of 33882 that divides 33882 without a remainder.

1, 2, 3, 6, 5647, 11294, 16941

Step-4: Factors of 33896

List of positive integer factors of 33896 that divides 33882 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 223, 446, 892, 1784, 4237, 8474, 16948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33882 and 33896. The biggest common factor number is the GCF number.
So the greatest common factor 33882 and 33896 is 2.

Also check out the Least Common Multiple of 33882 and 33896