What is the Greatest Common Factor of 33888 and 33903?

Greatest common factor (GCF) of 33888 and 33903 is 3.

GCF(33888,33903) = 3

We will now calculate the prime factors of 33888 and 33903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33888 and 33903.

How to find the GCF of 33888 and 33903?

We will first find the prime factorization of 33888 and 33903. After we will calculate the factors of 33888 and 33903 and find the biggest common factor number .

Step-1: Prime Factorization of 33888

Prime factors of 33888 are 2, 3, 353. Prime factorization of 33888 in exponential form is:

33888 = 2⁵ × 3¹ × 353¹

Step-2: Prime Factorization of 33903

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

33903 = 3² × 3767¹

Step-3: Factors of 33888

List of positive integer factors of 33888 that divides 33888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472, 11296, 16944

Step-4: Factors of 33903

List of positive integer factors of 33903 that divides 33888 without a remainder.

1, 3, 9, 3767, 11301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33888 and 33903. The biggest common factor number is the GCF number.
So the greatest common factor 33888 and 33903 is 3.

Also check out the Least Common Multiple of 33888 and 33903