What is the Greatest Common Factor of 28815 and 28830?

Greatest common factor (GCF) of 28815 and 28830 is 15.

GCF(28815,28830) = 15

We will now calculate the prime factors of 28815 and 28830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28815 and 28830.

How to find the GCF of 28815 and 28830?

We will first find the prime factorization of 28815 and 28830. After we will calculate the factors of 28815 and 28830 and find the biggest common factor number .

Step-1: Prime Factorization of 28815

Prime factors of 28815 are 3, 5, 17, 113. Prime factorization of 28815 in exponential form is:

28815 = 3¹ × 5¹ × 17¹ × 113¹

Step-2: 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-3: Factors of 28815

List of positive integer factors of 28815 that divides 28815 without a remainder.

1, 3, 5, 15, 17, 51, 85, 113, 255, 339, 565, 1695, 1921, 5763, 9605

Step-4: Factors of 28830

List of positive integer factors of 28830 that divides 28815 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28815 and 28830. The biggest common factor number is the GCF number.
So the greatest common factor 28815 and 28830 is 15.

Also check out the Least Common Multiple of 28815 and 28830