What is the Greatest Common Factor of 14844 and 14848?

Greatest common factor (GCF) of 14844 and 14848 is 4.

GCF(14844,14848) = 4

We will now calculate the prime factors of 14844 and 14848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14844 and 14848.

How to find the GCF of 14844 and 14848?

We will first find the prime factorization of 14844 and 14848. After we will calculate the factors of 14844 and 14848 and find the biggest common factor number .

Step-1: Prime Factorization of 14844

Prime factors of 14844 are 2, 3, 1237. Prime factorization of 14844 in exponential form is:

14844 = 2² × 3¹ × 1237¹

Step-2: Prime Factorization of 14848

Prime factors of 14848 are 2, 29. Prime factorization of 14848 in exponential form is:

14848 = 2⁹ × 29¹

Step-3: Factors of 14844

List of positive integer factors of 14844 that divides 14844 without a remainder.

1, 2, 3, 4, 6, 12, 1237, 2474, 3711, 4948, 7422

Step-4: Factors of 14848

List of positive integer factors of 14848 that divides 14844 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1856, 3712, 7424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14844 and 14848. The biggest common factor number is the GCF number.
So the greatest common factor 14844 and 14848 is 4.

Also check out the Least Common Multiple of 14844 and 14848