What is the Greatest Common Factor of 59285 and 59300?

Greatest common factor (GCF) of 59285 and 59300 is 5.

GCF(59285,59300) = 5

We will now calculate the prime factors of 59285 and 59300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59285 and 59300.

How to find the GCF of 59285 and 59300?

We will first find the prime factorization of 59285 and 59300. After we will calculate the factors of 59285 and 59300 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 59300

Prime factors of 59300 are 2, 5, 593. Prime factorization of 59300 in exponential form is:

59300 = 2² × 5² × 593¹

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 59300

List of positive integer factors of 59300 that divides 59285 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 593, 1186, 2372, 2965, 5930, 11860, 14825, 29650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59285 and 59300. The biggest common factor number is the GCF number.
So the greatest common factor 59285 and 59300 is 5.

Also check out the Least Common Multiple of 59285 and 59300