What is the Greatest Common Factor of 18126 and 18131?

Greatest common factor (GCF) of 18126 and 18131 is 1.

GCF(18126,18131) = 1

We will now calculate the prime factors of 18126 and 18131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18126 and 18131.

How to find the GCF of 18126 and 18131?

We will first find the prime factorization of 18126 and 18131. After we will calculate the factors of 18126 and 18131 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18131

Prime factors of 18131 are 18131. Prime factorization of 18131 in exponential form is:

18131 = 18131¹

Step-3: Factors of 18126

List of positive integer factors of 18126 that divides 18126 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

Step-4: Factors of 18131

List of positive integer factors of 18131 that divides 18126 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18126 and 18131. The biggest common factor number is the GCF number.
So the greatest common factor 18126 and 18131 is 1.

Also check out the Least Common Multiple of 18126 and 18131