What is the Greatest Common Factor of 58487 and 58500?

Greatest common factor (GCF) of 58487 and 58500 is 13.

GCF(58487,58500) = 13

We will now calculate the prime factors of 58487 and 58500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58487 and 58500.

How to find the GCF of 58487 and 58500?

We will first find the prime factorization of 58487 and 58500. After we will calculate the factors of 58487 and 58500 and find the biggest common factor number .

Step-1: Prime Factorization of 58487

Prime factors of 58487 are 11, 13, 409. Prime factorization of 58487 in exponential form is:

58487 = 11¹ × 13¹ × 409¹

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 58487

List of positive integer factors of 58487 that divides 58487 without a remainder.

1, 11, 13, 143, 409, 4499, 5317

Step-4: Factors of 58500

List of positive integer factors of 58500 that divides 58487 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 58487 and 58500. The biggest common factor number is the GCF number.
So the greatest common factor 58487 and 58500 is 13.

Also check out the Least Common Multiple of 58487 and 58500