What is the Greatest Common Factor of 58725 and 58745?

Greatest common factor (GCF) of 58725 and 58745 is 5.

GCF(58725,58745) = 5

We will now calculate the prime factors of 58725 and 58745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58725 and 58745.

How to find the GCF of 58725 and 58745?

We will first find the prime factorization of 58725 and 58745. After we will calculate the factors of 58725 and 58745 and find the biggest common factor number .

Step-1: Prime Factorization of 58725

Prime factors of 58725 are 3, 5, 29. Prime factorization of 58725 in exponential form is:

58725 = 3⁴ × 5² × 29¹

Step-2: Prime Factorization of 58745

Prime factors of 58745 are 5, 31, 379. Prime factorization of 58745 in exponential form is:

58745 = 5¹ × 31¹ × 379¹

Step-3: Factors of 58725

List of positive integer factors of 58725 that divides 58725 without a remainder.

1, 3, 5, 9, 15, 25, 27, 29, 45, 75, 81, 87, 135, 145, 225, 261, 405, 435, 675, 725, 783, 1305, 2025, 2175, 2349, 3915, 6525, 11745, 19575

Step-4: Factors of 58745

List of positive integer factors of 58745 that divides 58725 without a remainder.

1, 5, 31, 155, 379, 1895, 11749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58725 and 58745. The biggest common factor number is the GCF number.
So the greatest common factor 58725 and 58745 is 5.

Also check out the Least Common Multiple of 58725 and 58745