What is the Greatest Common Factor of 58174 and 58179?

Greatest common factor (GCF) of 58174 and 58179 is 1.

GCF(58174,58179) = 1

We will now calculate the prime factors of 58174 and 58179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58174 and 58179.

How to find the GCF of 58174 and 58179?

We will first find the prime factorization of 58174 and 58179. After we will calculate the factors of 58174 and 58179 and find the biggest common factor number .

Step-1: Prime Factorization of 58174

Prime factors of 58174 are 2, 17, 29, 59. Prime factorization of 58174 in exponential form is:

58174 = 2¹ × 17¹ × 29¹ × 59¹

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 58174

List of positive integer factors of 58174 that divides 58174 without a remainder.

1, 2, 17, 29, 34, 58, 59, 118, 493, 986, 1003, 1711, 2006, 3422, 29087

Step-4: Factors of 58179

List of positive integer factors of 58179 that divides 58174 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 58174 and 58179. The biggest common factor number is the GCF number.
So the greatest common factor 58174 and 58179 is 1.

Also check out the Least Common Multiple of 58174 and 58179