What is the Greatest Common Factor of 5296 and 5308?

Greatest common factor (GCF) of 5296 and 5308 is 4.

GCF(5296,5308) = 4

We will now calculate the prime factors of 5296 and 5308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5296 and 5308.

How to find the GCF of 5296 and 5308?

We will first find the prime factorization of 5296 and 5308. After we will calculate the factors of 5296 and 5308 and find the biggest common factor number .

Step-1: Prime Factorization of 5296

Prime factors of 5296 are 2, 331. Prime factorization of 5296 in exponential form is:

5296 = 2⁴ × 331¹

Step-2: Prime Factorization of 5308

Prime factors of 5308 are 2, 1327. Prime factorization of 5308 in exponential form is:

5308 = 2² × 1327¹

Step-3: Factors of 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1, 2, 4, 8, 16, 331, 662, 1324, 2648

Step-4: Factors of 5308

List of positive integer factors of 5308 that divides 5296 without a remainder.

1, 2, 4, 1327, 2654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5296 and 5308. The biggest common factor number is the GCF number.
So the greatest common factor 5296 and 5308 is 4.

Also check out the Least Common Multiple of 5296 and 5308