What is the Greatest Common Factor of 33882 and 33902?

Greatest common factor (GCF) of 33882 and 33902 is 2.

GCF(33882,33902) = 2

We will now calculate the prime factors of 33882 and 33902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33882 and 33902.

How to find the GCF of 33882 and 33902?

We will first find the prime factorization of 33882 and 33902. After we will calculate the factors of 33882 and 33902 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 33902

Prime factors of 33902 are 2, 11, 23, 67. Prime factorization of 33902 in exponential form is:

33902 = 2¹ × 11¹ × 23¹ × 67¹

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 33902

List of positive integer factors of 33902 that divides 33882 without a remainder.

1, 2, 11, 22, 23, 46, 67, 134, 253, 506, 737, 1474, 1541, 3082, 16951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33882 and 33902. The biggest common factor number is the GCF number.
So the greatest common factor 33882 and 33902 is 2.

Also check out the Least Common Multiple of 33882 and 33902