What is the Greatest Common Factor of 28848 and 28857?

Greatest common factor (GCF) of 28848 and 28857 is 3.

GCF(28848,28857) = 3

We will now calculate the prime factors of 28848 and 28857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28848 and 28857.

How to find the GCF of 28848 and 28857?

We will first find the prime factorization of 28848 and 28857. After we will calculate the factors of 28848 and 28857 and find the biggest common factor number .

Step-1: Prime Factorization of 28848

Prime factors of 28848 are 2, 3, 601. Prime factorization of 28848 in exponential form is:

28848 = 2⁴ × 3¹ × 601¹

Step-2: Prime Factorization of 28857

Prime factors of 28857 are 3, 9619. Prime factorization of 28857 in exponential form is:

28857 = 3¹ × 9619¹

Step-3: Factors of 28848

List of positive integer factors of 28848 that divides 28848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 601, 1202, 1803, 2404, 3606, 4808, 7212, 9616, 14424

Step-4: Factors of 28857

List of positive integer factors of 28857 that divides 28848 without a remainder.

1, 3, 9619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28848 and 28857. The biggest common factor number is the GCF number.
So the greatest common factor 28848 and 28857 is 3.

Also check out the Least Common Multiple of 28848 and 28857