What is the Greatest Common Factor of 33876 and 33894?

Greatest common factor (GCF) of 33876 and 33894 is 18.

GCF(33876,33894) = 18

We will now calculate the prime factors of 33876 and 33894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33876 and 33894.

How to find the GCF of 33876 and 33894?

We will first find the prime factorization of 33876 and 33894. After we will calculate the factors of 33876 and 33894 and find the biggest common factor number .

Step-1: Prime Factorization of 33876

Prime factors of 33876 are 2, 3, 941. Prime factorization of 33876 in exponential form is:

33876 = 2² × 3² × 941¹

Step-2: Prime Factorization of 33894

Prime factors of 33894 are 2, 3, 7, 269. Prime factorization of 33894 in exponential form is:

33894 = 2¹ × 3² × 7¹ × 269¹

Step-3: Factors of 33876

List of positive integer factors of 33876 that divides 33876 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 941, 1882, 2823, 3764, 5646, 8469, 11292, 16938

Step-4: Factors of 33894

List of positive integer factors of 33894 that divides 33876 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 269, 538, 807, 1614, 1883, 2421, 3766, 4842, 5649, 11298, 16947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33876 and 33894. The biggest common factor number is the GCF number.
So the greatest common factor 33876 and 33894 is 18.

Also check out the Least Common Multiple of 33876 and 33894