What is the Greatest Common Factor of 18072 and 18084?

Greatest common factor (GCF) of 18072 and 18084 is 12.

GCF(18072,18084) = 12

We will now calculate the prime factors of 18072 and 18084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18072 and 18084.

How to find the GCF of 18072 and 18084?

We will first find the prime factorization of 18072 and 18084. After we will calculate the factors of 18072 and 18084 and find the biggest common factor number .

Step-1: Prime Factorization of 18072

Prime factors of 18072 are 2, 3, 251. Prime factorization of 18072 in exponential form is:

18072 = 2³ × 3² × 251¹

Step-2: 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-3: Factors of 18072

List of positive integer factors of 18072 that divides 18072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4518, 6024, 9036

Step-4: Factors of 18084

List of positive integer factors of 18084 that divides 18072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18072 and 18084. The biggest common factor number is the GCF number.
So the greatest common factor 18072 and 18084 is 12.

Also check out the Least Common Multiple of 18072 and 18084