What is the Greatest Common Factor of 33165 and 33171?

Greatest common factor (GCF) of 33165 and 33171 is 3.

GCF(33165,33171) = 3

We will now calculate the prime factors of 33165 and 33171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33165 and 33171.

How to find the GCF of 33165 and 33171?

We will first find the prime factorization of 33165 and 33171. After we will calculate the factors of 33165 and 33171 and find the biggest common factor number .

Step-1: Prime Factorization of 33165

Prime factors of 33165 are 3, 5, 11, 67. Prime factorization of 33165 in exponential form is:

33165 = 3² × 5¹ × 11¹ × 67¹

Step-2: Prime Factorization of 33171

Prime factors of 33171 are 3, 11057. Prime factorization of 33171 in exponential form is:

33171 = 3¹ × 11057¹

Step-3: Factors of 33165

List of positive integer factors of 33165 that divides 33165 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603, 737, 1005, 2211, 3015, 3685, 6633, 11055

Step-4: Factors of 33171

List of positive integer factors of 33171 that divides 33165 without a remainder.

1, 3, 11057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33165 and 33171. The biggest common factor number is the GCF number.
So the greatest common factor 33165 and 33171 is 3.

Also check out the Least Common Multiple of 33165 and 33171