What is the Greatest Common Factor of 5285 and 5305?

Greatest common factor (GCF) of 5285 and 5305 is 5.

GCF(5285,5305) = 5

We will now calculate the prime factors of 5285 and 5305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5285 and 5305.

How to find the GCF of 5285 and 5305?

We will first find the prime factorization of 5285 and 5305. After we will calculate the factors of 5285 and 5305 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 5305

Prime factors of 5305 are 5, 1061. Prime factorization of 5305 in exponential form is:

5305 = 5¹ × 1061¹

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 5305

List of positive integer factors of 5305 that divides 5285 without a remainder.

1, 5, 1061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5285 and 5305. The biggest common factor number is the GCF number.
So the greatest common factor 5285 and 5305 is 5.

Also check out the Least Common Multiple of 5285 and 5305