What is the Greatest Common Factor of 28796 and 28816?

Greatest common factor (GCF) of 28796 and 28816 is 4.

GCF(28796,28816) = 4

We will now calculate the prime factors of 28796 and 28816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28796 and 28816.

How to find the GCF of 28796 and 28816?

We will first find the prime factorization of 28796 and 28816. After we will calculate the factors of 28796 and 28816 and find the biggest common factor number .

Step-1: Prime Factorization of 28796

Prime factors of 28796 are 2, 23, 313. Prime factorization of 28796 in exponential form is:

28796 = 2² × 23¹ × 313¹

Step-2: Prime Factorization of 28816

Prime factors of 28816 are 2, 1801. Prime factorization of 28816 in exponential form is:

28816 = 2⁴ × 1801¹

Step-3: Factors of 28796

List of positive integer factors of 28796 that divides 28796 without a remainder.

1, 2, 4, 23, 46, 92, 313, 626, 1252, 7199, 14398

Step-4: Factors of 28816

List of positive integer factors of 28816 that divides 28796 without a remainder.

1, 2, 4, 8, 16, 1801, 3602, 7204, 14408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28796 and 28816. The biggest common factor number is the GCF number.
So the greatest common factor 28796 and 28816 is 4.

Also check out the Least Common Multiple of 28796 and 28816