What is the Greatest Common Factor of 18054 and 18072?

Greatest common factor (GCF) of 18054 and 18072 is 18.

GCF(18054,18072) = 18

We will now calculate the prime factors of 18054 and 18072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18054 and 18072.

How to find the GCF of 18054 and 18072?

We will first find the prime factorization of 18054 and 18072. After we will calculate the factors of 18054 and 18072 and find the biggest common factor number .

Step-1: Prime Factorization of 18054

Prime factors of 18054 are 2, 3, 17, 59. Prime factorization of 18054 in exponential form is:

18054 = 2¹ × 3² × 17¹ × 59¹

Step-2: 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-3: Factors of 18054

List of positive integer factors of 18054 that divides 18054 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 59, 102, 118, 153, 177, 306, 354, 531, 1003, 1062, 2006, 3009, 6018, 9027

Step-4: Factors of 18072

List of positive integer factors of 18072 that divides 18054 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18054 and 18072. The biggest common factor number is the GCF number.
So the greatest common factor 18054 and 18072 is 18.

Also check out the Least Common Multiple of 18054 and 18072