What is the Greatest Common Factor of 18058 and 18073?

Greatest common factor (GCF) of 18058 and 18073 is 1.

GCF(18058,18073) = 1

We will now calculate the prime factors of 18058 and 18073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18058 and 18073.

How to find the GCF of 18058 and 18073?

We will first find the prime factorization of 18058 and 18073. After we will calculate the factors of 18058 and 18073 and find the biggest common factor number .

Step-1: Prime Factorization of 18058

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

18058 = 2¹ × 9029¹

Step-2: Prime Factorization of 18073

Prime factors of 18073 are 11, 31, 53. Prime factorization of 18073 in exponential form is:

18073 = 11¹ × 31¹ × 53¹

Step-3: Factors of 18058

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

1, 2, 9029

Step-4: Factors of 18073

List of positive integer factors of 18073 that divides 18058 without a remainder.

1, 11, 31, 53, 341, 583, 1643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18058 and 18073. The biggest common factor number is the GCF number.
So the greatest common factor 18058 and 18073 is 1.

Also check out the Least Common Multiple of 18058 and 18073