What is the Greatest Common Factor of 58375 and 58384?

Greatest common factor (GCF) of 58375 and 58384 is 1.

GCF(58375,58384) = 1

We will now calculate the prime factors of 58375 and 58384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58375 and 58384.

How to find the GCF of 58375 and 58384?

We will first find the prime factorization of 58375 and 58384. After we will calculate the factors of 58375 and 58384 and find the biggest common factor number .

Step-1: Prime Factorization of 58375

Prime factors of 58375 are 5, 467. Prime factorization of 58375 in exponential form is:

58375 = 5³ × 467¹

Step-2: Prime Factorization of 58384

Prime factors of 58384 are 2, 41, 89. Prime factorization of 58384 in exponential form is:

58384 = 2⁴ × 41¹ × 89¹

Step-3: Factors of 58375

List of positive integer factors of 58375 that divides 58375 without a remainder.

1, 5, 25, 125, 467, 2335, 11675

Step-4: Factors of 58384

List of positive integer factors of 58384 that divides 58375 without a remainder.

1, 2, 4, 8, 16, 41, 82, 89, 164, 178, 328, 356, 656, 712, 1424, 3649, 7298, 14596, 29192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58375 and 58384. The biggest common factor number is the GCF number.
So the greatest common factor 58375 and 58384 is 1.

Also check out the Least Common Multiple of 58375 and 58384