What is the Greatest Common Factor of 58500 and 58510?

Greatest common factor (GCF) of 58500 and 58510 is 10.

GCF(58500,58510) = 10

We will now calculate the prime factors of 58500 and 58510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58500 and 58510.

How to find the GCF of 58500 and 58510?

We will first find the prime factorization of 58500 and 58510. After we will calculate the factors of 58500 and 58510 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 58510

Prime factors of 58510 are 2, 5, 5851. Prime factorization of 58510 in exponential form is:

58510 = 2¹ × 5¹ × 5851¹

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 58510

List of positive integer factors of 58510 that divides 58500 without a remainder.

1, 2, 5, 10, 5851, 11702, 29255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58500 and 58510. The biggest common factor number is the GCF number.
So the greatest common factor 58500 and 58510 is 10.

Also check out the Least Common Multiple of 58500 and 58510