What is the Greatest Common Factor of 58725 and 58739?

Greatest common factor (GCF) of 58725 and 58739 is 1.

GCF(58725,58739) = 1

We will now calculate the prime factors of 58725 and 58739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58725 and 58739.

How to find the GCF of 58725 and 58739?

We will first find the prime factorization of 58725 and 58739. After we will calculate the factors of 58725 and 58739 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 58739

Prime factors of 58739 are 151, 389. Prime factorization of 58739 in exponential form is:

58739 = 151¹ × 389¹

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 58739

List of positive integer factors of 58739 that divides 58725 without a remainder.

1, 151, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58725 and 58739. The biggest common factor number is the GCF number.
So the greatest common factor 58725 and 58739 is 1.

Also check out the Least Common Multiple of 58725 and 58739