What is the Greatest Common Factor of 58125 and 58142?

Greatest common factor (GCF) of 58125 and 58142 is 1.

GCF(58125,58142) = 1

We will now calculate the prime factors of 58125 and 58142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58125 and 58142.

How to find the GCF of 58125 and 58142?

We will first find the prime factorization of 58125 and 58142. After we will calculate the factors of 58125 and 58142 and find the biggest common factor number .

Step-1: Prime Factorization of 58125

Prime factors of 58125 are 3, 5, 31. Prime factorization of 58125 in exponential form is:

58125 = 3¹ × 5⁴ × 31¹

Step-2: Prime Factorization of 58142

Prime factors of 58142 are 2, 7, 4153. Prime factorization of 58142 in exponential form is:

58142 = 2¹ × 7¹ × 4153¹

Step-3: Factors of 58125

List of positive integer factors of 58125 that divides 58125 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 125, 155, 375, 465, 625, 775, 1875, 2325, 3875, 11625, 19375

Step-4: Factors of 58142

List of positive integer factors of 58142 that divides 58125 without a remainder.

1, 2, 7, 14, 4153, 8306, 29071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58125 and 58142. The biggest common factor number is the GCF number.
So the greatest common factor 58125 and 58142 is 1.

Also check out the Least Common Multiple of 58125 and 58142