What is the Greatest Common Factor of 28825 and 28830?

Greatest common factor (GCF) of 28825 and 28830 is 5.

GCF(28825,28830) = 5

We will now calculate the prime factors of 28825 and 28830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28825 and 28830.

How to find the GCF of 28825 and 28830?

We will first find the prime factorization of 28825 and 28830. After we will calculate the factors of 28825 and 28830 and find the biggest common factor number .

Step-1: Prime Factorization of 28825

Prime factors of 28825 are 5, 1153. Prime factorization of 28825 in exponential form is:

28825 = 5² × 1153¹

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 28825

List of positive integer factors of 28825 that divides 28825 without a remainder.

1, 5, 25, 1153, 5765

Step-4: Factors of 28830

List of positive integer factors of 28830 that divides 28825 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 28825 and 28830. The biggest common factor number is the GCF number.
So the greatest common factor 28825 and 28830 is 5.

Also check out the Least Common Multiple of 28825 and 28830