What is the Greatest Common Factor of 5290 and 5306?

Greatest common factor (GCF) of 5290 and 5306 is 2.

GCF(5290,5306) = 2

We will now calculate the prime factors of 5290 and 5306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5290 and 5306.

How to find the GCF of 5290 and 5306?

We will first find the prime factorization of 5290 and 5306. After we will calculate the factors of 5290 and 5306 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 5306

Prime factors of 5306 are 2, 7, 379. Prime factorization of 5306 in exponential form is:

5306 = 2¹ × 7¹ × 379¹

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 5306

List of positive integer factors of 5306 that divides 5290 without a remainder.

1, 2, 7, 14, 379, 758, 2653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5290 and 5306. The biggest common factor number is the GCF number.
So the greatest common factor 5290 and 5306 is 2.

Also check out the Least Common Multiple of 5290 and 5306