What is the Greatest Common Factor of 58179 and 58185?

Greatest common factor (GCF) of 58179 and 58185 is 3.

GCF(58179,58185) = 3

We will now calculate the prime factors of 58179 and 58185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58179 and 58185.

How to find the GCF of 58179 and 58185?

We will first find the prime factorization of 58179 and 58185. After we will calculate the factors of 58179 and 58185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58185

Prime factors of 58185 are 3, 5, 431. Prime factorization of 58185 in exponential form is:

58185 = 3³ × 5¹ × 431¹

Step-3: Factors of 58179

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

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

Step-4: Factors of 58185

List of positive integer factors of 58185 that divides 58179 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 431, 1293, 2155, 3879, 6465, 11637, 19395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58179 and 58185. The biggest common factor number is the GCF number.
So the greatest common factor 58179 and 58185 is 3.

Also check out the Least Common Multiple of 58179 and 58185