What is the Greatest Common Factor of 5290 and 5308?

Greatest common factor (GCF) of 5290 and 5308 is 2.

GCF(5290,5308) = 2

We will now calculate the prime factors of 5290 and 5308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5290 and 5308.

How to find the GCF of 5290 and 5308?

We will first find the prime factorization of 5290 and 5308. After we will calculate the factors of 5290 and 5308 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 5308

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

5308 = 2² × 1327¹

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 5308

List of positive integer factors of 5308 that divides 5290 without a remainder.

1, 2, 4, 1327, 2654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5290 and 5308. The biggest common factor number is the GCF number.
So the greatest common factor 5290 and 5308 is 2.

Also check out the Least Common Multiple of 5290 and 5308