What is the Greatest Common Factor of 58119 and 58125?

Greatest common factor (GCF) of 58119 and 58125 is 3.

GCF(58119,58125) = 3

We will now calculate the prime factors of 58119 and 58125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58119 and 58125.

How to find the GCF of 58119 and 58125?

We will first find the prime factorization of 58119 and 58125. After we will calculate the factors of 58119 and 58125 and find the biggest common factor number .

Step-1: Prime Factorization of 58119

Prime factors of 58119 are 3, 19373. Prime factorization of 58119 in exponential form is:

58119 = 3¹ × 19373¹

Step-2: 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-3: Factors of 58119

List of positive integer factors of 58119 that divides 58119 without a remainder.

1, 3, 19373

Step-4: Factors of 58125

List of positive integer factors of 58125 that divides 58119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58119 and 58125. The biggest common factor number is the GCF number.
So the greatest common factor 58119 and 58125 is 3.

Also check out the Least Common Multiple of 58119 and 58125