What is the Greatest Common Factor of 93585 and 93590?

Greatest common factor (GCF) of 93585 and 93590 is 5.

GCF(93585,93590) = 5

We will now calculate the prime factors of 93585 and 93590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93585 and 93590.

How to find the GCF of 93585 and 93590?

We will first find the prime factorization of 93585 and 93590. After we will calculate the factors of 93585 and 93590 and find the biggest common factor number .

Step-1: Prime Factorization of 93585

Prime factors of 93585 are 3, 5, 17, 367. Prime factorization of 93585 in exponential form is:

93585 = 3¹ × 5¹ × 17¹ × 367¹

Step-2: Prime Factorization of 93590

Prime factors of 93590 are 2, 5, 7, 191. Prime factorization of 93590 in exponential form is:

93590 = 2¹ × 5¹ × 7² × 191¹

Step-3: Factors of 93585

List of positive integer factors of 93585 that divides 93585 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 367, 1101, 1835, 5505, 6239, 18717, 31195

Step-4: Factors of 93590

List of positive integer factors of 93590 that divides 93585 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 191, 245, 382, 490, 955, 1337, 1910, 2674, 6685, 9359, 13370, 18718, 46795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93585 and 93590. The biggest common factor number is the GCF number.
So the greatest common factor 93585 and 93590 is 5.

Also check out the Least Common Multiple of 93585 and 93590