What is the Greatest Common Factor of 93500 and 93509?

Greatest common factor (GCF) of 93500 and 93509 is 1.

GCF(93500,93509) = 1

We will now calculate the prime factors of 93500 and 93509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93500 and 93509.

How to find the GCF of 93500 and 93509?

We will first find the prime factorization of 93500 and 93509. After we will calculate the factors of 93500 and 93509 and find the biggest common factor number .

Step-1: Prime Factorization of 93500

Prime factors of 93500 are 2, 5, 11, 17. Prime factorization of 93500 in exponential form is:

93500 = 2² × 5³ × 11¹ × 17¹

Step-2: Prime Factorization of 93509

Prime factors of 93509 are 13, 7193. Prime factorization of 93509 in exponential form is:

93509 = 13¹ × 7193¹

Step-3: Factors of 93500

List of positive integer factors of 93500 that divides 93500 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 125, 170, 187, 220, 250, 275, 340, 374, 425, 500, 550, 748, 850, 935, 1100, 1375, 1700, 1870, 2125, 2750, 3740, 4250, 4675, 5500, 8500, 9350, 18700, 23375, 46750

Step-4: Factors of 93509

List of positive integer factors of 93509 that divides 93500 without a remainder.

1, 13, 7193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93500 and 93509. The biggest common factor number is the GCF number.
So the greatest common factor 93500 and 93509 is 1.

Also check out the Least Common Multiple of 93500 and 93509