What is the Greatest Common Factor of 33084 and 33102?

Greatest common factor (GCF) of 33084 and 33102 is 18.

GCF(33084,33102) = 18

We will now calculate the prime factors of 33084 and 33102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33084 and 33102.

How to find the GCF of 33084 and 33102?

We will first find the prime factorization of 33084 and 33102. After we will calculate the factors of 33084 and 33102 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 33102

Prime factors of 33102 are 2, 3, 613. Prime factorization of 33102 in exponential form is:

33102 = 2¹ × 3³ × 613¹

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 33102

List of positive integer factors of 33102 that divides 33084 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 613, 1226, 1839, 3678, 5517, 11034, 16551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33084 and 33102. The biggest common factor number is the GCF number.
So the greatest common factor 33084 and 33102 is 18.

Also check out the Least Common Multiple of 33084 and 33102