What is the Greatest Common Factor of 28854 and 28863?

Greatest common factor (GCF) of 28854 and 28863 is 9.

GCF(28854,28863) = 9

We will now calculate the prime factors of 28854 and 28863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28854 and 28863.

How to find the GCF of 28854 and 28863?

We will first find the prime factorization of 28854 and 28863. After we will calculate the factors of 28854 and 28863 and find the biggest common factor number .

Step-1: Prime Factorization of 28854

Prime factors of 28854 are 2, 3, 7, 229. Prime factorization of 28854 in exponential form is:

28854 = 2¹ × 3² × 7¹ × 229¹

Step-2: Prime Factorization of 28863

Prime factors of 28863 are 3, 1069. Prime factorization of 28863 in exponential form is:

28863 = 3³ × 1069¹

Step-3: Factors of 28854

List of positive integer factors of 28854 that divides 28854 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 229, 458, 687, 1374, 1603, 2061, 3206, 4122, 4809, 9618, 14427

Step-4: Factors of 28863

List of positive integer factors of 28863 that divides 28854 without a remainder.

1, 3, 9, 27, 1069, 3207, 9621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28854 and 28863. The biggest common factor number is the GCF number.
So the greatest common factor 28854 and 28863 is 9.

Also check out the Least Common Multiple of 28854 and 28863