What is the Greatest Common Factor of 58500 and 58507?

Greatest common factor (GCF) of 58500 and 58507 is 1.

GCF(58500,58507) = 1

We will now calculate the prime factors of 58500 and 58507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58500 and 58507.

How to find the GCF of 58500 and 58507?

We will first find the prime factorization of 58500 and 58507. After we will calculate the factors of 58500 and 58507 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58507

Prime factors of 58507 are 41, 1427. Prime factorization of 58507 in exponential form is:

58507 = 41¹ × 1427¹

Step-3: Factors of 58500

List of positive integer factors of 58500 that divides 58500 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

Step-4: Factors of 58507

List of positive integer factors of 58507 that divides 58500 without a remainder.

1, 41, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58500 and 58507. The biggest common factor number is the GCF number.
So the greatest common factor 58500 and 58507 is 1.

Also check out the Least Common Multiple of 58500 and 58507