What is the Greatest Common Factor of 33084 and 33099?

Greatest common factor (GCF) of 33084 and 33099 is 3.

GCF(33084,33099) = 3

We will now calculate the prime factors of 33084 and 33099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33084 and 33099.

How to find the GCF of 33084 and 33099?

We will first find the prime factorization of 33084 and 33099. After we will calculate the factors of 33084 and 33099 and find the biggest common factor number .

Step-1: Prime Factorization of 33084

Prime factors of 33084 are 2, 3, 919. Prime factorization of 33084 in exponential form is:

33084 = 2² × 3² × 919¹

Step-2: 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-3: Factors of 33084

List of positive integer factors of 33084 that divides 33084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 919, 1838, 2757, 3676, 5514, 8271, 11028, 16542

Step-4: Factors of 33099

List of positive integer factors of 33099 that divides 33084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33084 and 33099. The biggest common factor number is the GCF number.
So the greatest common factor 33084 and 33099 is 3.

Also check out the Least Common Multiple of 33084 and 33099