What is the Greatest Common Factor of 18038 and 18058?

Greatest common factor (GCF) of 18038 and 18058 is 2.

GCF(18038,18058) = 2

We will now calculate the prime factors of 18038 and 18058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18038 and 18058.

How to find the GCF of 18038 and 18058?

We will first find the prime factorization of 18038 and 18058. After we will calculate the factors of 18038 and 18058 and find the biggest common factor number .

Step-1: Prime Factorization of 18038

Prime factors of 18038 are 2, 29, 311. Prime factorization of 18038 in exponential form is:

18038 = 2¹ × 29¹ × 311¹

Step-2: Prime Factorization of 18058

Prime factors of 18058 are 2, 9029. Prime factorization of 18058 in exponential form is:

18058 = 2¹ × 9029¹

Step-3: Factors of 18038

List of positive integer factors of 18038 that divides 18038 without a remainder.

1, 2, 29, 58, 311, 622, 9019

Step-4: Factors of 18058

List of positive integer factors of 18058 that divides 18038 without a remainder.

1, 2, 9029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18038 and 18058. The biggest common factor number is the GCF number.
So the greatest common factor 18038 and 18058 is 2.

Also check out the Least Common Multiple of 18038 and 18058