What is the Greatest Common Factor of 18036 and 18054?

Greatest common factor (GCF) of 18036 and 18054 is 18.

GCF(18036,18054) = 18

We will now calculate the prime factors of 18036 and 18054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18036 and 18054.

How to find the GCF of 18036 and 18054?

We will first find the prime factorization of 18036 and 18054. After we will calculate the factors of 18036 and 18054 and find the biggest common factor number .

Step-1: Prime Factorization of 18036

Prime factors of 18036 are 2, 3, 167. Prime factorization of 18036 in exponential form is:

18036 = 2² × 3³ × 167¹

Step-2: 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-3: Factors of 18036

List of positive integer factors of 18036 that divides 18036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 4509, 6012, 9018

Step-4: Factors of 18054

List of positive integer factors of 18054 that divides 18036 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18036 and 18054. The biggest common factor number is the GCF number.
So the greatest common factor 18036 and 18054 is 18.

Also check out the Least Common Multiple of 18036 and 18054