What is the Greatest Common Factor of 5290 and 5296?

Greatest common factor (GCF) of 5290 and 5296 is 2.

GCF(5290,5296) = 2

We will now calculate the prime factors of 5290 and 5296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5290 and 5296.

How to find the GCF of 5290 and 5296?

We will first find the prime factorization of 5290 and 5296. After we will calculate the factors of 5290 and 5296 and find the biggest common factor number .

Step-1: Prime Factorization of 5290

Prime factors of 5290 are 2, 5, 23. Prime factorization of 5290 in exponential form is:

5290 = 2¹ × 5¹ × 23²

Step-2: Prime Factorization of 5296

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

5296 = 2⁴ × 331¹

Step-3: Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645

Step-4: Factors of 5296

List of positive integer factors of 5296 that divides 5290 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5290 and 5296. The biggest common factor number is the GCF number.
So the greatest common factor 5290 and 5296 is 2.

Also check out the Least Common Multiple of 5290 and 5296