What is the Greatest Common Factor of 5290 and 5298?

Greatest common factor (GCF) of 5290 and 5298 is 2.

GCF(5290,5298) = 2

We will now calculate the prime factors of 5290 and 5298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5290 and 5298.

How to find the GCF of 5290 and 5298?

We will first find the prime factorization of 5290 and 5298. After we will calculate the factors of 5290 and 5298 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 5298

Prime factors of 5298 are 2, 3, 883. Prime factorization of 5298 in exponential form is:

5298 = 2¹ × 3¹ × 883¹

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 5298

List of positive integer factors of 5298 that divides 5290 without a remainder.

1, 2, 3, 6, 883, 1766, 2649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5290 and 5298. The biggest common factor number is the GCF number.
So the greatest common factor 5290 and 5298 is 2.

Also check out the Least Common Multiple of 5290 and 5298