What is the Greatest Common Factor of 28830 and 28845?

Greatest common factor (GCF) of 28830 and 28845 is 15.

GCF(28830,28845) = 15

We will now calculate the prime factors of 28830 and 28845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28830 and 28845.

How to find the GCF of 28830 and 28845?

We will first find the prime factorization of 28830 and 28845. After we will calculate the factors of 28830 and 28845 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 28845

Prime factors of 28845 are 3, 5, 641. Prime factorization of 28845 in exponential form is:

28845 = 3² × 5¹ × 641¹

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 28845

List of positive integer factors of 28845 that divides 28830 without a remainder.

1, 3, 5, 9, 15, 45, 641, 1923, 3205, 5769, 9615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28830 and 28845. The biggest common factor number is the GCF number.
So the greatest common factor 28830 and 28845 is 15.

Also check out the Least Common Multiple of 28830 and 28845