What is the Greatest Common Factor of 58710 and 58725?

Greatest common factor (GCF) of 58710 and 58725 is 15.

GCF(58710,58725) = 15

We will now calculate the prime factors of 58710 and 58725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58710 and 58725.

How to find the GCF of 58710 and 58725?

We will first find the prime factorization of 58710 and 58725. After we will calculate the factors of 58710 and 58725 and find the biggest common factor number .

Step-1: Prime Factorization of 58710

Prime factors of 58710 are 2, 3, 5, 19, 103. Prime factorization of 58710 in exponential form is:

58710 = 2¹ × 3¹ × 5¹ × 19¹ × 103¹

Step-2: 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-3: Factors of 58710

List of positive integer factors of 58710 that divides 58710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 103, 114, 190, 206, 285, 309, 515, 570, 618, 1030, 1545, 1957, 3090, 3914, 5871, 9785, 11742, 19570, 29355

Step-4: Factors of 58725

List of positive integer factors of 58725 that divides 58710 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58710 and 58725. The biggest common factor number is the GCF number.
So the greatest common factor 58710 and 58725 is 15.

Also check out the Least Common Multiple of 58710 and 58725