What is the Greatest Common Factor of 28869 and 28878?

Greatest common factor (GCF) of 28869 and 28878 is 3.

GCF(28869,28878) = 3

We will now calculate the prime factors of 28869 and 28878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28869 and 28878.

How to find the GCF of 28869 and 28878?

We will first find the prime factorization of 28869 and 28878. After we will calculate the factors of 28869 and 28878 and find the biggest common factor number .

Step-1: Prime Factorization of 28869

Prime factors of 28869 are 3, 9623. Prime factorization of 28869 in exponential form is:

28869 = 3¹ × 9623¹

Step-2: Prime Factorization of 28878

Prime factors of 28878 are 2, 3, 4813. Prime factorization of 28878 in exponential form is:

28878 = 2¹ × 3¹ × 4813¹

Step-3: Factors of 28869

List of positive integer factors of 28869 that divides 28869 without a remainder.

1, 3, 9623

Step-4: Factors of 28878

List of positive integer factors of 28878 that divides 28869 without a remainder.

1, 2, 3, 6, 4813, 9626, 14439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28869 and 28878. The biggest common factor number is the GCF number.
So the greatest common factor 28869 and 28878 is 3.

Also check out the Least Common Multiple of 28869 and 28878