What is the Greatest Common Factor of 5285 and 5290?

Greatest common factor (GCF) of 5285 and 5290 is 5.

GCF(5285,5290) = 5

We will now calculate the prime factors of 5285 and 5290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5285 and 5290.

How to find the GCF of 5285 and 5290?

We will first find the prime factorization of 5285 and 5290. After we will calculate the factors of 5285 and 5290 and find the biggest common factor number .

Step-1: Prime Factorization of 5285

Prime factors of 5285 are 5, 7, 151. Prime factorization of 5285 in exponential form is:

5285 = 5¹ × 7¹ × 151¹

Step-2: 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-3: Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1, 5, 7, 35, 151, 755, 1057

Step-4: Factors of 5290

List of positive integer factors of 5290 that divides 5285 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5285 and 5290. The biggest common factor number is the GCF number.
So the greatest common factor 5285 and 5290 is 5.

Also check out the Least Common Multiple of 5285 and 5290