What is the Greatest Common Factor of 33882 and 33892?

Greatest common factor (GCF) of 33882 and 33892 is 2.

GCF(33882,33892) = 2

We will now calculate the prime factors of 33882 and 33892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33882 and 33892.

How to find the GCF of 33882 and 33892?

We will first find the prime factorization of 33882 and 33892. After we will calculate the factors of 33882 and 33892 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 33892

Prime factors of 33892 are 2, 37, 229. Prime factorization of 33892 in exponential form is:

33892 = 2² × 37¹ × 229¹

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 33892

List of positive integer factors of 33892 that divides 33882 without a remainder.

1, 2, 4, 37, 74, 148, 229, 458, 916, 8473, 16946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33882 and 33892. The biggest common factor number is the GCF number.
So the greatest common factor 33882 and 33892 is 2.

Also check out the Least Common Multiple of 33882 and 33892