What is the Greatest Common Factor of 59301 and 59319?

Greatest common factor (GCF) of 59301 and 59319 is 9.

GCF(59301,59319) = 9

We will now calculate the prime factors of 59301 and 59319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59301 and 59319.

How to find the GCF of 59301 and 59319?

We will first find the prime factorization of 59301 and 59319. After we will calculate the factors of 59301 and 59319 and find the biggest common factor number .

Step-1: Prime Factorization of 59301

Prime factors of 59301 are 3, 11, 599. Prime factorization of 59301 in exponential form is:

59301 = 3² × 11¹ × 599¹

Step-2: Prime Factorization of 59319

Prime factors of 59319 are 3, 13. Prime factorization of 59319 in exponential form is:

59319 = 3³ × 13³

Step-3: Factors of 59301

List of positive integer factors of 59301 that divides 59301 without a remainder.

1, 3, 9, 11, 33, 99, 599, 1797, 5391, 6589, 19767

Step-4: Factors of 59319

List of positive integer factors of 59319 that divides 59301 without a remainder.

1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 2197, 4563, 6591, 19773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59301 and 59319. The biggest common factor number is the GCF number.
So the greatest common factor 59301 and 59319 is 9.

Also check out the Least Common Multiple of 59301 and 59319