What is the Greatest Common Factor of 33903 and 33912?

Greatest common factor (GCF) of 33903 and 33912 is 9.

GCF(33903,33912) = 9

We will now calculate the prime factors of 33903 and 33912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33903 and 33912.

How to find the GCF of 33903 and 33912?

We will first find the prime factorization of 33903 and 33912. After we will calculate the factors of 33903 and 33912 and find the biggest common factor number .

Step-1: Prime Factorization of 33903

Prime factors of 33903 are 3, 3767. Prime factorization of 33903 in exponential form is:

33903 = 3² × 3767¹

Step-2: Prime Factorization of 33912

Prime factors of 33912 are 2, 3, 157. Prime factorization of 33912 in exponential form is:

33912 = 2³ × 3³ × 157¹

Step-3: Factors of 33903

List of positive integer factors of 33903 that divides 33903 without a remainder.

1, 3, 9, 3767, 11301

Step-4: Factors of 33912

List of positive integer factors of 33912 that divides 33903 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 157, 216, 314, 471, 628, 942, 1256, 1413, 1884, 2826, 3768, 4239, 5652, 8478, 11304, 16956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33903 and 33912. The biggest common factor number is the GCF number.
So the greatest common factor 33903 and 33912 is 9.

Also check out the Least Common Multiple of 33903 and 33912