What is the Greatest Common Factor of 28830 and 28850?

Greatest common factor (GCF) of 28830 and 28850 is 10.

GCF(28830,28850) = 10

We will now calculate the prime factors of 28830 and 28850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28830 and 28850.

How to find the GCF of 28830 and 28850?

We will first find the prime factorization of 28830 and 28850. After we will calculate the factors of 28830 and 28850 and find the biggest common factor number .

Step-1: Prime Factorization of 28830

Prime factors of 28830 are 2, 3, 5, 31. Prime factorization of 28830 in exponential form is:

28830 = 2¹ × 3¹ × 5¹ × 31²

Step-2: Prime Factorization of 28850

Prime factors of 28850 are 2, 5, 577. Prime factorization of 28850 in exponential form is:

28850 = 2¹ × 5² × 577¹

Step-3: Factors of 28830

List of positive integer factors of 28830 that divides 28830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930, 961, 1922, 2883, 4805, 5766, 9610, 14415

Step-4: Factors of 28850

List of positive integer factors of 28850 that divides 28830 without a remainder.

1, 2, 5, 10, 25, 50, 577, 1154, 2885, 5770, 14425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28830 and 28850. The biggest common factor number is the GCF number.
So the greatest common factor 28830 and 28850 is 10.

Also check out the Least Common Multiple of 28830 and 28850