What is the Greatest Common Factor of 58168 and 58173?

Greatest common factor (GCF) of 58168 and 58173 is 1.

GCF(58168,58173) = 1

We will now calculate the prime factors of 58168 and 58173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58168 and 58173.

How to find the GCF of 58168 and 58173?

We will first find the prime factorization of 58168 and 58173. After we will calculate the factors of 58168 and 58173 and find the biggest common factor number .

Step-1: Prime Factorization of 58168

Prime factors of 58168 are 2, 11, 661. Prime factorization of 58168 in exponential form is:

58168 = 2³ × 11¹ × 661¹

Step-2: Prime Factorization of 58173

Prime factors of 58173 are 3, 19391. Prime factorization of 58173 in exponential form is:

58173 = 3¹ × 19391¹

Step-3: Factors of 58168

List of positive integer factors of 58168 that divides 58168 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 661, 1322, 2644, 5288, 7271, 14542, 29084

Step-4: Factors of 58173

List of positive integer factors of 58173 that divides 58168 without a remainder.

1, 3, 19391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58168 and 58173. The biggest common factor number is the GCF number.
So the greatest common factor 58168 and 58173 is 1.

Also check out the Least Common Multiple of 58168 and 58173