What is the Greatest Common Factor of 33153 and 33165?

Greatest common factor (GCF) of 33153 and 33165 is 3.

GCF(33153,33165) = 3

We will now calculate the prime factors of 33153 and 33165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33153 and 33165.

How to find the GCF of 33153 and 33165?

We will first find the prime factorization of 33153 and 33165. After we will calculate the factors of 33153 and 33165 and find the biggest common factor number .

Step-1: Prime Factorization of 33153

Prime factors of 33153 are 3, 43, 257. Prime factorization of 33153 in exponential form is:

33153 = 3¹ × 43¹ × 257¹

Step-2: 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-3: Factors of 33153

List of positive integer factors of 33153 that divides 33153 without a remainder.

1, 3, 43, 129, 257, 771, 11051

Step-4: Factors of 33165

List of positive integer factors of 33165 that divides 33153 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33153 and 33165. The biggest common factor number is the GCF number.
So the greatest common factor 33153 and 33165 is 3.

Also check out the Least Common Multiple of 33153 and 33165