What is the Greatest Common Factor of 28836 and 28848?

Greatest common factor (GCF) of 28836 and 28848 is 12.

GCF(28836,28848) = 12

We will now calculate the prime factors of 28836 and 28848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28836 and 28848.

How to find the GCF of 28836 and 28848?

We will first find the prime factorization of 28836 and 28848. After we will calculate the factors of 28836 and 28848 and find the biggest common factor number .

Step-1: Prime Factorization of 28836

Prime factors of 28836 are 2, 3, 89. Prime factorization of 28836 in exponential form is:

28836 = 2² × 3⁴ × 89¹

Step-2: 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-3: Factors of 28836

List of positive integer factors of 28836 that divides 28836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 89, 108, 162, 178, 267, 324, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 7209, 9612, 14418

Step-4: Factors of 28848

List of positive integer factors of 28848 that divides 28836 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28836 and 28848. The biggest common factor number is the GCF number.
So the greatest common factor 28836 and 28848 is 12.

Also check out the Least Common Multiple of 28836 and 28848