What is the Greatest Common Factor of 18114 and 18126?

Greatest common factor (GCF) of 18114 and 18126 is 6.

GCF(18114,18126) = 6

We will now calculate the prime factors of 18114 and 18126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18114 and 18126.

How to find the GCF of 18114 and 18126?

We will first find the prime factorization of 18114 and 18126. After we will calculate the factors of 18114 and 18126 and find the biggest common factor number .

Step-1: Prime Factorization of 18114

Prime factors of 18114 are 2, 3, 3019. Prime factorization of 18114 in exponential form is:

18114 = 2¹ × 3¹ × 3019¹

Step-2: Prime Factorization of 18126

Prime factors of 18126 are 2, 3, 19, 53. Prime factorization of 18126 in exponential form is:

18126 = 2¹ × 3² × 19¹ × 53¹

Step-3: Factors of 18114

List of positive integer factors of 18114 that divides 18114 without a remainder.

1, 2, 3, 6, 3019, 6038, 9057

Step-4: Factors of 18126

List of positive integer factors of 18126 that divides 18114 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 53, 57, 106, 114, 159, 171, 318, 342, 477, 954, 1007, 2014, 3021, 6042, 9063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18114 and 18126. The biggest common factor number is the GCF number.
So the greatest common factor 18114 and 18126 is 6.

Also check out the Least Common Multiple of 18114 and 18126