What is the Greatest Common Factor of 28828 and 28848?

Greatest common factor (GCF) of 28828 and 28848 is 4.

GCF(28828,28848) = 4

We will now calculate the prime factors of 28828 and 28848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28828 and 28848.

How to find the GCF of 28828 and 28848?

We will first find the prime factorization of 28828 and 28848. After we will calculate the factors of 28828 and 28848 and find the biggest common factor number .

Step-1: Prime Factorization of 28828

Prime factors of 28828 are 2, 7207. Prime factorization of 28828 in exponential form is:

28828 = 2² × 7207¹

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 28828

List of positive integer factors of 28828 that divides 28828 without a remainder.

1, 2, 4, 7207, 14414

Step-4: Factors of 28848

List of positive integer factors of 28848 that divides 28828 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 28828 and 28848. The biggest common factor number is the GCF number.
So the greatest common factor 28828 and 28848 is 4.

Also check out the Least Common Multiple of 28828 and 28848