What is the Greatest Common Factor of 33183 and 33189?

Greatest common factor (GCF) of 33183 and 33189 is 3.

GCF(33183,33189) = 3

We will now calculate the prime factors of 33183 and 33189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33183 and 33189.

How to find the GCF of 33183 and 33189?

We will first find the prime factorization of 33183 and 33189. After we will calculate the factors of 33183 and 33189 and find the biggest common factor number .

Step-1: Prime Factorization of 33183

Prime factors of 33183 are 3, 1229. Prime factorization of 33183 in exponential form is:

33183 = 3³ × 1229¹

Step-2: Prime Factorization of 33189

Prime factors of 33189 are 3, 13, 23, 37. Prime factorization of 33189 in exponential form is:

33189 = 3¹ × 13¹ × 23¹ × 37¹

Step-3: Factors of 33183

List of positive integer factors of 33183 that divides 33183 without a remainder.

1, 3, 9, 27, 1229, 3687, 11061

Step-4: Factors of 33189

List of positive integer factors of 33189 that divides 33183 without a remainder.

1, 3, 13, 23, 37, 39, 69, 111, 299, 481, 851, 897, 1443, 2553, 11063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33183 and 33189. The biggest common factor number is the GCF number.
So the greatest common factor 33183 and 33189 is 3.

Also check out the Least Common Multiple of 33183 and 33189