What is the Greatest Common Factor of 28230 and 28248?

Greatest common factor (GCF) of 28230 and 28248 is 6.

GCF(28230,28248) = 6

We will now calculate the prime factors of 28230 and 28248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28230 and 28248.

How to find the GCF of 28230 and 28248?

We will first find the prime factorization of 28230 and 28248. After we will calculate the factors of 28230 and 28248 and find the biggest common factor number .

Step-1: Prime Factorization of 28230

Prime factors of 28230 are 2, 3, 5, 941. Prime factorization of 28230 in exponential form is:

28230 = 2¹ × 3¹ × 5¹ × 941¹

Step-2: Prime Factorization of 28248

Prime factors of 28248 are 2, 3, 11, 107. Prime factorization of 28248 in exponential form is:

28248 = 2³ × 3¹ × 11¹ × 107¹

Step-3: Factors of 28230

List of positive integer factors of 28230 that divides 28230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 941, 1882, 2823, 4705, 5646, 9410, 14115

Step-4: Factors of 28248

List of positive integer factors of 28248 that divides 28230 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 107, 132, 214, 264, 321, 428, 642, 856, 1177, 1284, 2354, 2568, 3531, 4708, 7062, 9416, 14124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28230 and 28248. The biggest common factor number is the GCF number.
So the greatest common factor 28230 and 28248 is 6.

Also check out the Least Common Multiple of 28230 and 28248