What is the Greatest Common Factor of 59305 and 59321?

Greatest common factor (GCF) of 59305 and 59321 is 1.

GCF(59305,59321) = 1

We will now calculate the prime factors of 59305 and 59321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59305 and 59321.

How to find the GCF of 59305 and 59321?

We will first find the prime factorization of 59305 and 59321. After we will calculate the factors of 59305 and 59321 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 59321

Prime factors of 59321 are 137, 433. Prime factorization of 59321 in exponential form is:

59321 = 137¹ × 433¹

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 59321

List of positive integer factors of 59321 that divides 59305 without a remainder.

1, 137, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59305 and 59321. The biggest common factor number is the GCF number.
So the greatest common factor 59305 and 59321 is 1.

Also check out the Least Common Multiple of 59305 and 59321