What is the Greatest Common Factor of 18109 and 18118?

Greatest common factor (GCF) of 18109 and 18118 is 1.

GCF(18109,18118) = 1

We will now calculate the prime factors of 18109 and 18118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18109 and 18118.

How to find the GCF of 18109 and 18118?

We will first find the prime factorization of 18109 and 18118. After we will calculate the factors of 18109 and 18118 and find the biggest common factor number .

Step-1: Prime Factorization of 18109

Prime factors of 18109 are 7, 13, 199. Prime factorization of 18109 in exponential form is:

18109 = 7¹ × 13¹ × 199¹

Step-2: Prime Factorization of 18118

Prime factors of 18118 are 2, 9059. Prime factorization of 18118 in exponential form is:

18118 = 2¹ × 9059¹

Step-3: Factors of 18109

List of positive integer factors of 18109 that divides 18109 without a remainder.

1, 7, 13, 91, 199, 1393, 2587

Step-4: Factors of 18118

List of positive integer factors of 18118 that divides 18109 without a remainder.

1, 2, 9059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18109 and 18118. The biggest common factor number is the GCF number.
So the greatest common factor 18109 and 18118 is 1.

Also check out the Least Common Multiple of 18109 and 18118