What is the Greatest Common Factor of 93570 and 93585?

Greatest common factor (GCF) of 93570 and 93585 is 15.

GCF(93570,93585) = 15

We will now calculate the prime factors of 93570 and 93585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93570 and 93585.

How to find the GCF of 93570 and 93585?

We will first find the prime factorization of 93570 and 93585. After we will calculate the factors of 93570 and 93585 and find the biggest common factor number .

Step-1: Prime Factorization of 93570

Prime factors of 93570 are 2, 3, 5, 3119. Prime factorization of 93570 in exponential form is:

93570 = 2¹ × 3¹ × 5¹ × 3119¹

Step-2: 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-3: Factors of 93570

List of positive integer factors of 93570 that divides 93570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3119, 6238, 9357, 15595, 18714, 31190, 46785

Step-4: Factors of 93585

List of positive integer factors of 93585 that divides 93570 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93570 and 93585. The biggest common factor number is the GCF number.
So the greatest common factor 93570 and 93585 is 15.

Also check out the Least Common Multiple of 93570 and 93585