What is the Greatest Common Factor of 18126 and 18137?

Greatest common factor (GCF) of 18126 and 18137 is 1.

GCF(18126,18137) = 1

We will now calculate the prime factors of 18126 and 18137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18126 and 18137.

How to find the GCF of 18126 and 18137?

We will first find the prime factorization of 18126 and 18137. After we will calculate the factors of 18126 and 18137 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 18137

Prime factors of 18137 are 7, 2591. Prime factorization of 18137 in exponential form is:

18137 = 7¹ × 2591¹

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 18137

List of positive integer factors of 18137 that divides 18126 without a remainder.

1, 7, 2591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18126 and 18137. The biggest common factor number is the GCF number.
So the greatest common factor 18126 and 18137 is 1.

Also check out the Least Common Multiple of 18126 and 18137