What is the Greatest Common Factor of 33099 and 33105?

Greatest common factor (GCF) of 33099 and 33105 is 3.

GCF(33099,33105) = 3

We will now calculate the prime factors of 33099 and 33105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33099 and 33105.

How to find the GCF of 33099 and 33105?

We will first find the prime factorization of 33099 and 33105. After we will calculate the factors of 33099 and 33105 and find the biggest common factor number .

Step-1: Prime Factorization of 33099

Prime factors of 33099 are 3, 11, 17, 59. Prime factorization of 33099 in exponential form is:

33099 = 3¹ × 11¹ × 17¹ × 59¹

Step-2: Prime Factorization of 33105

Prime factors of 33105 are 3, 5, 2207. Prime factorization of 33105 in exponential form is:

33105 = 3¹ × 5¹ × 2207¹

Step-3: Factors of 33099

List of positive integer factors of 33099 that divides 33099 without a remainder.

1, 3, 11, 17, 33, 51, 59, 177, 187, 561, 649, 1003, 1947, 3009, 11033

Step-4: Factors of 33105

List of positive integer factors of 33105 that divides 33099 without a remainder.

1, 3, 5, 15, 2207, 6621, 11035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33099 and 33105. The biggest common factor number is the GCF number.
So the greatest common factor 33099 and 33105 is 3.

Also check out the Least Common Multiple of 33099 and 33105