What is the Greatest Common Factor of 14848 and 14858?

Greatest common factor (GCF) of 14848 and 14858 is 2.

GCF(14848,14858) = 2

We will now calculate the prime factors of 14848 and 14858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14848 and 14858.

How to find the GCF of 14848 and 14858?

We will first find the prime factorization of 14848 and 14858. After we will calculate the factors of 14848 and 14858 and find the biggest common factor number .

Step-1: Prime Factorization of 14848

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

14848 = 2⁹ × 29¹

Step-2: Prime Factorization of 14858

Prime factors of 14858 are 2, 17, 19, 23. Prime factorization of 14858 in exponential form is:

14858 = 2¹ × 17¹ × 19¹ × 23¹

Step-3: Factors of 14848

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

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

Step-4: Factors of 14858

List of positive integer factors of 14858 that divides 14848 without a remainder.

1, 2, 17, 19, 23, 34, 38, 46, 323, 391, 437, 646, 782, 874, 7429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14848 and 14858. The biggest common factor number is the GCF number.
So the greatest common factor 14848 and 14858 is 2.

Also check out the Least Common Multiple of 14848 and 14858