What is the Greatest Common Factor of 28830 and 28842?

Greatest common factor (GCF) of 28830 and 28842 is 6.

GCF(28830,28842) = 6

We will now calculate the prime factors of 28830 and 28842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28830 and 28842.

How to find the GCF of 28830 and 28842?

We will first find the prime factorization of 28830 and 28842. After we will calculate the factors of 28830 and 28842 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 28842

Prime factors of 28842 are 2, 3, 11, 19, 23. Prime factorization of 28842 in exponential form is:

28842 = 2¹ × 3¹ × 11¹ × 19¹ × 23¹

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 28842

List of positive integer factors of 28842 that divides 28830 without a remainder.

1, 2, 3, 6, 11, 19, 22, 23, 33, 38, 46, 57, 66, 69, 114, 138, 209, 253, 418, 437, 506, 627, 759, 874, 1254, 1311, 1518, 2622, 4807, 9614, 14421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28830 and 28842. The biggest common factor number is the GCF number.
So the greatest common factor 28830 and 28842 is 6.

Also check out the Least Common Multiple of 28830 and 28842