What is the Greatest Common Factor of 93480 and 93500?

Greatest common factor (GCF) of 93480 and 93500 is 20.

GCF(93480,93500) = 20

We will now calculate the prime factors of 93480 and 93500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93480 and 93500.

How to find the GCF of 93480 and 93500?

We will first find the prime factorization of 93480 and 93500. After we will calculate the factors of 93480 and 93500 and find the biggest common factor number .

Step-1: Prime Factorization of 93480

Prime factors of 93480 are 2, 3, 5, 19, 41. Prime factorization of 93480 in exponential form is:

93480 = 2³ × 3¹ × 5¹ × 19¹ × 41¹

Step-2: 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-3: Factors of 93480

List of positive integer factors of 93480 that divides 93480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 41, 57, 60, 76, 82, 95, 114, 120, 123, 152, 164, 190, 205, 228, 246, 285, 328, 380, 410, 456, 492, 570, 615, 760, 779, 820, 984, 1140, 1230, 1558, 1640, 2280, 2337, 2460, 3116, 3895, 4674, 4920, 6232, 7790, 9348, 11685, 15580, 18696, 23370, 31160, 46740

Step-4: Factors of 93500

List of positive integer factors of 93500 that divides 93480 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93480 and 93500. The biggest common factor number is the GCF number.
So the greatest common factor 93480 and 93500 is 20.

Also check out the Least Common Multiple of 93480 and 93500