What is the Greatest Common Factor of 18084 and 18094?

Greatest common factor (GCF) of 18084 and 18094 is 2.

GCF(18084,18094) = 2

We will now calculate the prime factors of 18084 and 18094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18084 and 18094.

How to find the GCF of 18084 and 18094?

We will first find the prime factorization of 18084 and 18094. After we will calculate the factors of 18084 and 18094 and find the biggest common factor number .

Step-1: Prime Factorization of 18084

Prime factors of 18084 are 2, 3, 11, 137. Prime factorization of 18084 in exponential form is:

18084 = 2² × 3¹ × 11¹ × 137¹

Step-2: Prime Factorization of 18094

Prime factors of 18094 are 2, 83, 109. Prime factorization of 18094 in exponential form is:

18094 = 2¹ × 83¹ × 109¹

Step-3: Factors of 18084

List of positive integer factors of 18084 that divides 18084 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 137, 274, 411, 548, 822, 1507, 1644, 3014, 4521, 6028, 9042

Step-4: Factors of 18094

List of positive integer factors of 18094 that divides 18084 without a remainder.

1, 2, 83, 109, 166, 218, 9047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18084 and 18094. The biggest common factor number is the GCF number.
So the greatest common factor 18084 and 18094 is 2.

Also check out the Least Common Multiple of 18084 and 18094