What is the Greatest Common Factor of 18108 and 18120?

Greatest common factor (GCF) of 18108 and 18120 is 12.

GCF(18108,18120) = 12

We will now calculate the prime factors of 18108 and 18120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18108 and 18120.

How to find the GCF of 18108 and 18120?

We will first find the prime factorization of 18108 and 18120. After we will calculate the factors of 18108 and 18120 and find the biggest common factor number .

Step-1: Prime Factorization of 18108

Prime factors of 18108 are 2, 3, 503. Prime factorization of 18108 in exponential form is:

18108 = 2² × 3² × 503¹

Step-2: Prime Factorization of 18120

Prime factors of 18120 are 2, 3, 5, 151. Prime factorization of 18120 in exponential form is:

18120 = 2³ × 3¹ × 5¹ × 151¹

Step-3: Factors of 18108

List of positive integer factors of 18108 that divides 18108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 503, 1006, 1509, 2012, 3018, 4527, 6036, 9054

Step-4: Factors of 18120

List of positive integer factors of 18120 that divides 18108 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 151, 302, 453, 604, 755, 906, 1208, 1510, 1812, 2265, 3020, 3624, 4530, 6040, 9060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18108 and 18120. The biggest common factor number is the GCF number.
So the greatest common factor 18108 and 18120 is 12.

Also check out the Least Common Multiple of 18108 and 18120