What is the Greatest Common Factor of 14816 and 14828?

Greatest common factor (GCF) of 14816 and 14828 is 4.

GCF(14816,14828) = 4

We will now calculate the prime factors of 14816 and 14828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14816 and 14828.

How to find the GCF of 14816 and 14828?

We will first find the prime factorization of 14816 and 14828. After we will calculate the factors of 14816 and 14828 and find the biggest common factor number .

Step-1: Prime Factorization of 14816

Prime factors of 14816 are 2, 463. Prime factorization of 14816 in exponential form is:

14816 = 2⁵ × 463¹

Step-2: Prime Factorization of 14828

Prime factors of 14828 are 2, 11, 337. Prime factorization of 14828 in exponential form is:

14828 = 2² × 11¹ × 337¹

Step-3: Factors of 14816

List of positive integer factors of 14816 that divides 14816 without a remainder.

1, 2, 4, 8, 16, 32, 463, 926, 1852, 3704, 7408

Step-4: Factors of 14828

List of positive integer factors of 14828 that divides 14816 without a remainder.

1, 2, 4, 11, 22, 44, 337, 674, 1348, 3707, 7414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14816 and 14828. The biggest common factor number is the GCF number.
So the greatest common factor 14816 and 14828 is 4.

Also check out the Least Common Multiple of 14816 and 14828