What is the Greatest Common Factor of 28768 and 28784?

Greatest common factor (GCF) of 28768 and 28784 is 16.

GCF(28768,28784) = 16

We will now calculate the prime factors of 28768 and 28784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28768 and 28784.

How to find the GCF of 28768 and 28784?

We will first find the prime factorization of 28768 and 28784. After we will calculate the factors of 28768 and 28784 and find the biggest common factor number .

Step-1: Prime Factorization of 28768

Prime factors of 28768 are 2, 29, 31. Prime factorization of 28768 in exponential form is:

28768 = 2⁵ × 29¹ × 31¹

Step-2: Prime Factorization of 28784

Prime factors of 28784 are 2, 7, 257. Prime factorization of 28784 in exponential form is:

28784 = 2⁴ × 7¹ × 257¹

Step-3: Factors of 28768

List of positive integer factors of 28768 that divides 28768 without a remainder.

1, 2, 4, 8, 16, 29, 31, 32, 58, 62, 116, 124, 232, 248, 464, 496, 899, 928, 992, 1798, 3596, 7192, 14384

Step-4: Factors of 28784

List of positive integer factors of 28784 that divides 28768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 257, 514, 1028, 1799, 2056, 3598, 4112, 7196, 14392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28768 and 28784. The biggest common factor number is the GCF number.
So the greatest common factor 28768 and 28784 is 16.

Also check out the Least Common Multiple of 28768 and 28784