What is the Greatest Common Factor of 28872 and 28878?

Greatest common factor (GCF) of 28872 and 28878 is 6.

GCF(28872,28878) = 6

We will now calculate the prime factors of 28872 and 28878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28872 and 28878.

How to find the GCF of 28872 and 28878?

We will first find the prime factorization of 28872 and 28878. After we will calculate the factors of 28872 and 28878 and find the biggest common factor number .

Step-1: Prime Factorization of 28872

Prime factors of 28872 are 2, 3, 401. Prime factorization of 28872 in exponential form is:

28872 = 2³ × 3² × 401¹

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 28872

List of positive integer factors of 28872 that divides 28872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 401, 802, 1203, 1604, 2406, 3208, 3609, 4812, 7218, 9624, 14436

Step-4: Factors of 28878

List of positive integer factors of 28878 that divides 28872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28872 and 28878. The biggest common factor number is the GCF number.
So the greatest common factor 28872 and 28878 is 6.

Also check out the Least Common Multiple of 28872 and 28878