What is the Greatest Common Factor of 58835 and 58850?

Greatest common factor (GCF) of 58835 and 58850 is 5.

GCF(58835,58850) = 5

We will now calculate the prime factors of 58835 and 58850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58835 and 58850.

How to find the GCF of 58835 and 58850?

We will first find the prime factorization of 58835 and 58850. After we will calculate the factors of 58835 and 58850 and find the biggest common factor number .

Step-1: 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-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 58835

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

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

Step-4: Factors of 58850

List of positive integer factors of 58850 that divides 58835 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 58835 and 58850. The biggest common factor number is the GCF number.
So the greatest common factor 58835 and 58850 is 5.

Also check out the Least Common Multiple of 58835 and 58850