What is the Greatest Common Factor of 58830 and 58850?

Greatest common factor (GCF) of 58830 and 58850 is 10.

GCF(58830,58850) = 10

We will now calculate the prime factors of 58830 and 58850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58830 and 58850.

How to find the GCF of 58830 and 58850?

We will first find the prime factorization of 58830 and 58850. After we will calculate the factors of 58830 and 58850 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 58850

Prime factors of 58850 are 2, 5, 11, 107. Prime factorization of 58850 in exponential form is:

58850 = 2¹ × 5² × 11¹ × 107¹

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 58850

List of positive integer factors of 58850 that divides 58830 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 107, 110, 214, 275, 535, 550, 1070, 1177, 2354, 2675, 5350, 5885, 11770, 29425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58830 and 58850. The biggest common factor number is the GCF number.
So the greatest common factor 58830 and 58850 is 10.

Also check out the Least Common Multiple of 58830 and 58850