What is the Greatest Common Factor of 58345 and 58360?

Greatest common factor (GCF) of 58345 and 58360 is 5.

GCF(58345,58360) = 5

We will now calculate the prime factors of 58345 and 58360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58345 and 58360.

How to find the GCF of 58345 and 58360?

We will first find the prime factorization of 58345 and 58360. After we will calculate the factors of 58345 and 58360 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 58360

Prime factors of 58360 are 2, 5, 1459. Prime factorization of 58360 in exponential form is:

58360 = 2³ × 5¹ × 1459¹

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 58360

List of positive integer factors of 58360 that divides 58345 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1459, 2918, 5836, 7295, 11672, 14590, 29180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58345 and 58360. The biggest common factor number is the GCF number.
So the greatest common factor 58345 and 58360 is 5.

Also check out the Least Common Multiple of 58345 and 58360