What is the Greatest Common Factor of 58174 and 58178?

Greatest common factor (GCF) of 58174 and 58178 is 2.

GCF(58174,58178) = 2

We will now calculate the prime factors of 58174 and 58178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58174 and 58178.

How to find the GCF of 58174 and 58178?

We will first find the prime factorization of 58174 and 58178. After we will calculate the factors of 58174 and 58178 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 58178

Prime factors of 58178 are 2, 19, 1531. Prime factorization of 58178 in exponential form is:

58178 = 2¹ × 19¹ × 1531¹

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 58178

List of positive integer factors of 58178 that divides 58174 without a remainder.

1, 2, 19, 38, 1531, 3062, 29089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58174 and 58178. The biggest common factor number is the GCF number.
So the greatest common factor 58174 and 58178 is 2.

Also check out the Least Common Multiple of 58174 and 58178