What is the Greatest Common Factor of 58485 and 58500?

Greatest common factor (GCF) of 58485 and 58500 is 15.

GCF(58485,58500) = 15

We will now calculate the prime factors of 58485 and 58500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58485 and 58500.

How to find the GCF of 58485 and 58500?

We will first find the prime factorization of 58485 and 58500. After we will calculate the factors of 58485 and 58500 and find the biggest common factor number .

Step-1: Prime Factorization of 58485

Prime factors of 58485 are 3, 5, 7, 557. Prime factorization of 58485 in exponential form is:

58485 = 3¹ × 5¹ × 7¹ × 557¹

Step-2: Prime Factorization of 58500

Prime factors of 58500 are 2, 3, 5, 13. Prime factorization of 58500 in exponential form is:

58500 = 2² × 3² × 5³ × 13¹

Step-3: Factors of 58485

List of positive integer factors of 58485 that divides 58485 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 557, 1671, 2785, 3899, 8355, 11697, 19495

Step-4: Factors of 58500

List of positive integer factors of 58500 that divides 58485 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30, 36, 39, 45, 50, 52, 60, 65, 75, 78, 90, 100, 117, 125, 130, 150, 156, 180, 195, 225, 234, 250, 260, 300, 325, 375, 390, 450, 468, 500, 585, 650, 750, 780, 900, 975, 1125, 1170, 1300, 1500, 1625, 1950, 2250, 2340, 2925, 3250, 3900, 4500, 4875, 5850, 6500, 9750, 11700, 14625, 19500, 29250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58485 and 58500. The biggest common factor number is the GCF number.
So the greatest common factor 58485 and 58500 is 15.

Also check out the Least Common Multiple of 58485 and 58500