What is the Greatest Common Factor of 28768 and 28778?

Greatest common factor (GCF) of 28768 and 28778 is 2.

GCF(28768,28778) = 2

We will now calculate the prime factors of 28768 and 28778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28768 and 28778.

How to find the GCF of 28768 and 28778?

We will first find the prime factorization of 28768 and 28778. After we will calculate the factors of 28768 and 28778 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 28778

Prime factors of 28778 are 2, 14389. Prime factorization of 28778 in exponential form is:

28778 = 2¹ × 14389¹

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 28778

List of positive integer factors of 28778 that divides 28768 without a remainder.

1, 2, 14389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28768 and 28778. The biggest common factor number is the GCF number.
So the greatest common factor 28768 and 28778 is 2.

Also check out the Least Common Multiple of 28768 and 28778