What is the Greatest Common Factor of 58830 and 58835?

Greatest common factor (GCF) of 58830 and 58835 is 5.

GCF(58830,58835) = 5

We will now calculate the prime factors of 58830 and 58835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58830 and 58835.

How to find the GCF of 58830 and 58835?

We will first find the prime factorization of 58830 and 58835. After we will calculate the factors of 58830 and 58835 and find the biggest common factor number .

Step-1: Prime Factorization of 58830

Prime factors of 58830 are 2, 3, 5, 37, 53. Prime factorization of 58830 in exponential form is:

58830 = 2¹ × 3¹ × 5¹ × 37¹ × 53¹

Step-2: Prime Factorization of 58835

Prime factors of 58835 are 5, 7, 41. Prime factorization of 58835 in exponential form is:

58835 = 5¹ × 7¹ × 41²

Step-3: Factors of 58830

List of positive integer factors of 58830 that divides 58830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 53, 74, 106, 111, 159, 185, 222, 265, 318, 370, 530, 555, 795, 1110, 1590, 1961, 3922, 5883, 9805, 11766, 19610, 29415

Step-4: Factors of 58835

List of positive integer factors of 58835 that divides 58830 without a remainder.

1, 5, 7, 35, 41, 205, 287, 1435, 1681, 8405, 11767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58830 and 58835. The biggest common factor number is the GCF number.
So the greatest common factor 58830 and 58835 is 5.

Also check out the Least Common Multiple of 58830 and 58835