What is the Greatest Common Factor of 58168 and 58179?

Greatest common factor (GCF) of 58168 and 58179 is 11.

GCF(58168,58179) = 11

We will now calculate the prime factors of 58168 and 58179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58168 and 58179.

How to find the GCF of 58168 and 58179?

We will first find the prime factorization of 58168 and 58179. After we will calculate the factors of 58168 and 58179 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 58179

Prime factors of 58179 are 3, 11, 41, 43. Prime factorization of 58179 in exponential form is:

58179 = 3¹ × 11¹ × 41¹ × 43¹

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 58179

List of positive integer factors of 58179 that divides 58168 without a remainder.

1, 3, 11, 33, 41, 43, 123, 129, 451, 473, 1353, 1419, 1763, 5289, 19393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58168 and 58179. The biggest common factor number is the GCF number.
So the greatest common factor 58168 and 58179 is 11.

Also check out the Least Common Multiple of 58168 and 58179