What is the Greatest Common Factor of 28866 and 28881?

Greatest common factor (GCF) of 28866 and 28881 is 3.

GCF(28866,28881) = 3

We will now calculate the prime factors of 28866 and 28881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28866 and 28881.

How to find the GCF of 28866 and 28881?

We will first find the prime factorization of 28866 and 28881. After we will calculate the factors of 28866 and 28881 and find the biggest common factor number .

Step-1: Prime Factorization of 28866

Prime factors of 28866 are 2, 3, 17, 283. Prime factorization of 28866 in exponential form is:

28866 = 2¹ × 3¹ × 17¹ × 283¹

Step-2: Prime Factorization of 28881

Prime factors of 28881 are 3, 3209. Prime factorization of 28881 in exponential form is:

28881 = 3² × 3209¹

Step-3: Factors of 28866

List of positive integer factors of 28866 that divides 28866 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 283, 566, 849, 1698, 4811, 9622, 14433

Step-4: Factors of 28881

List of positive integer factors of 28881 that divides 28866 without a remainder.

1, 3, 9, 3209, 9627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28866 and 28881. The biggest common factor number is the GCF number.
So the greatest common factor 28866 and 28881 is 3.

Also check out the Least Common Multiple of 28866 and 28881