What is the Greatest Common Factor of 33903 and 33918?

Greatest common factor (GCF) of 33903 and 33918 is 3.

GCF(33903,33918) = 3

We will now calculate the prime factors of 33903 and 33918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33903 and 33918.

How to find the GCF of 33903 and 33918?

We will first find the prime factorization of 33903 and 33918. After we will calculate the factors of 33903 and 33918 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 33918

Prime factors of 33918 are 2, 3, 5653. Prime factorization of 33918 in exponential form is:

33918 = 2¹ × 3¹ × 5653¹

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 33918

List of positive integer factors of 33918 that divides 33903 without a remainder.

1, 2, 3, 6, 5653, 11306, 16959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33903 and 33918. The biggest common factor number is the GCF number.
So the greatest common factor 33903 and 33918 is 3.

Also check out the Least Common Multiple of 33903 and 33918