What is the Greatest Common Factor of 59285 and 59305?

Greatest common factor (GCF) of 59285 and 59305 is 5.

GCF(59285,59305) = 5

We will now calculate the prime factors of 59285 and 59305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59285 and 59305.

How to find the GCF of 59285 and 59305?

We will first find the prime factorization of 59285 and 59305. After we will calculate the factors of 59285 and 59305 and find the biggest common factor number .

Step-1: Prime Factorization of 59285

Prime factors of 59285 are 5, 71, 167. Prime factorization of 59285 in exponential form is:

59285 = 5¹ × 71¹ × 167¹

Step-2: Prime Factorization of 59305

Prime factors of 59305 are 5, 29, 409. Prime factorization of 59305 in exponential form is:

59305 = 5¹ × 29¹ × 409¹

Step-3: Factors of 59285

List of positive integer factors of 59285 that divides 59285 without a remainder.

1, 5, 71, 167, 355, 835, 11857

Step-4: Factors of 59305

List of positive integer factors of 59305 that divides 59285 without a remainder.

1, 5, 29, 145, 409, 2045, 11861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59285 and 59305. The biggest common factor number is the GCF number.
So the greatest common factor 59285 and 59305 is 5.

Also check out the Least Common Multiple of 59285 and 59305