What is the Greatest Common Factor of 58174 and 58191?

Greatest common factor (GCF) of 58174 and 58191 is 17.

GCF(58174,58191) = 17

We will now calculate the prime factors of 58174 and 58191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58174 and 58191.

How to find the GCF of 58174 and 58191?

We will first find the prime factorization of 58174 and 58191. After we will calculate the factors of 58174 and 58191 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 58191

Prime factors of 58191 are 3, 7, 17, 163. Prime factorization of 58191 in exponential form is:

58191 = 3¹ × 7¹ × 17¹ × 163¹

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 58191

List of positive integer factors of 58191 that divides 58174 without a remainder.

1, 3, 7, 17, 21, 51, 119, 163, 357, 489, 1141, 2771, 3423, 8313, 19397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58174 and 58191. The biggest common factor number is the GCF number.
So the greatest common factor 58174 and 58191 is 17.

Also check out the Least Common Multiple of 58174 and 58191