What is the Greatest Common Factor of 58345 and 58354?

Greatest common factor (GCF) of 58345 and 58354 is 1.

GCF(58345,58354) = 1

We will now calculate the prime factors of 58345 and 58354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58345 and 58354.

How to find the GCF of 58345 and 58354?

We will first find the prime factorization of 58345 and 58354. After we will calculate the factors of 58345 and 58354 and find the biggest common factor number .

Step-1: Prime Factorization of 58345

Prime factors of 58345 are 5, 7, 1667. Prime factorization of 58345 in exponential form is:

58345 = 5¹ × 7¹ × 1667¹

Step-2: Prime Factorization of 58354

Prime factors of 58354 are 2, 163, 179. Prime factorization of 58354 in exponential form is:

58354 = 2¹ × 163¹ × 179¹

Step-3: Factors of 58345

List of positive integer factors of 58345 that divides 58345 without a remainder.

1, 5, 7, 35, 1667, 8335, 11669

Step-4: Factors of 58354

List of positive integer factors of 58354 that divides 58345 without a remainder.

1, 2, 163, 179, 326, 358, 29177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58345 and 58354. The biggest common factor number is the GCF number.
So the greatest common factor 58345 and 58354 is 1.

Also check out the Least Common Multiple of 58345 and 58354