What is the Greatest Common Factor of 18138 and 18143?

Greatest common factor (GCF) of 18138 and 18143 is 1.

GCF(18138,18143) = 1

We will now calculate the prime factors of 18138 and 18143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18138 and 18143.

How to find the GCF of 18138 and 18143?

We will first find the prime factorization of 18138 and 18143. After we will calculate the factors of 18138 and 18143 and find the biggest common factor number .

Step-1: Prime Factorization of 18138

Prime factors of 18138 are 2, 3, 3023. Prime factorization of 18138 in exponential form is:

18138 = 2¹ × 3¹ × 3023¹

Step-2: Prime Factorization of 18143

Prime factors of 18143 are 18143. Prime factorization of 18143 in exponential form is:

18143 = 18143¹

Step-3: Factors of 18138

List of positive integer factors of 18138 that divides 18138 without a remainder.

1, 2, 3, 6, 3023, 6046, 9069

Step-4: Factors of 18143

List of positive integer factors of 18143 that divides 18138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18138 and 18143. The biggest common factor number is the GCF number.
So the greatest common factor 18138 and 18143 is 1.

Also check out the Least Common Multiple of 18138 and 18143