What is the Greatest Common Factor of 59305 and 59315?

Greatest common factor (GCF) of 59305 and 59315 is 5.

GCF(59305,59315) = 5

We will now calculate the prime factors of 59305 and 59315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59305 and 59315.

How to find the GCF of 59305 and 59315?

We will first find the prime factorization of 59305 and 59315. After we will calculate the factors of 59305 and 59315 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59315

Prime factors of 59315 are 5, 11863. Prime factorization of 59315 in exponential form is:

59315 = 5¹ × 11863¹

Step-3: Factors of 59305

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

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

Step-4: Factors of 59315

List of positive integer factors of 59315 that divides 59305 without a remainder.

1, 5, 11863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59305 and 59315. The biggest common factor number is the GCF number.
So the greatest common factor 59305 and 59315 is 5.

Also check out the Least Common Multiple of 59305 and 59315