What is the Greatest Common Factor of 58165 and 58174?

Greatest common factor (GCF) of 58165 and 58174 is 1.

GCF(58165,58174) = 1

We will now calculate the prime factors of 58165 and 58174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58165 and 58174.

How to find the GCF of 58165 and 58174?

We will first find the prime factorization of 58165 and 58174. After we will calculate the factors of 58165 and 58174 and find the biggest common factor number .

Step-1: Prime Factorization of 58165

Prime factors of 58165 are 5, 11633. Prime factorization of 58165 in exponential form is:

58165 = 5¹ × 11633¹

Step-2: 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-3: Factors of 58165

List of positive integer factors of 58165 that divides 58165 without a remainder.

1, 5, 11633

Step-4: Factors of 58174

List of positive integer factors of 58174 that divides 58165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58165 and 58174. The biggest common factor number is the GCF number.
So the greatest common factor 58165 and 58174 is 1.

Also check out the Least Common Multiple of 58165 and 58174