What is the Greatest Common Factor of 58059 and 58075?

Greatest common factor (GCF) of 58059 and 58075 is 1.

GCF(58059,58075) = 1

We will now calculate the prime factors of 58059 and 58075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58059 and 58075.

How to find the GCF of 58059 and 58075?

We will first find the prime factorization of 58059 and 58075. After we will calculate the factors of 58059 and 58075 and find the biggest common factor number .

Step-1: Prime Factorization of 58059

Prime factors of 58059 are 3, 6451. Prime factorization of 58059 in exponential form is:

58059 = 3² × 6451¹

Step-2: Prime Factorization of 58075

Prime factors of 58075 are 5, 23, 101. Prime factorization of 58075 in exponential form is:

58075 = 5² × 23¹ × 101¹

Step-3: Factors of 58059

List of positive integer factors of 58059 that divides 58059 without a remainder.

1, 3, 9, 6451, 19353

Step-4: Factors of 58075

List of positive integer factors of 58075 that divides 58059 without a remainder.

1, 5, 23, 25, 101, 115, 505, 575, 2323, 2525, 11615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58059 and 58075. The biggest common factor number is the GCF number.
So the greatest common factor 58059 and 58075 is 1.

Also check out the Least Common Multiple of 58059 and 58075