What is the Greatest Common Factor of 28838 and 28848?

Greatest common factor (GCF) of 28838 and 28848 is 2.

GCF(28838,28848) = 2

We will now calculate the prime factors of 28838 and 28848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28838 and 28848.

How to find the GCF of 28838 and 28848?

We will first find the prime factorization of 28838 and 28848. After we will calculate the factors of 28838 and 28848 and find the biggest common factor number .

Step-1: Prime Factorization of 28838

Prime factors of 28838 are 2, 14419. Prime factorization of 28838 in exponential form is:

28838 = 2¹ × 14419¹

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 28838

List of positive integer factors of 28838 that divides 28838 without a remainder.

1, 2, 14419

Step-4: Factors of 28848

List of positive integer factors of 28848 that divides 28838 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 28838 and 28848. The biggest common factor number is the GCF number.
So the greatest common factor 28838 and 28848 is 2.

Also check out the Least Common Multiple of 28838 and 28848