What is the Greatest Common Factor of 59481 and 59500?

Greatest common factor (GCF) of 59481 and 59500 is 1.

GCF(59481,59500) = 1

We will now calculate the prime factors of 59481 and 59500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59481 and 59500.

How to find the GCF of 59481 and 59500?

We will first find the prime factorization of 59481 and 59500. After we will calculate the factors of 59481 and 59500 and find the biggest common factor number .

Step-1: Prime Factorization of 59481

Prime factors of 59481 are 3, 2203. Prime factorization of 59481 in exponential form is:

59481 = 3³ × 2203¹

Step-2: Prime Factorization of 59500

Prime factors of 59500 are 2, 5, 7, 17. Prime factorization of 59500 in exponential form is:

59500 = 2² × 5³ × 7¹ × 17¹

Step-3: Factors of 59481

List of positive integer factors of 59481 that divides 59481 without a remainder.

1, 3, 9, 27, 2203, 6609, 19827

Step-4: Factors of 59500

List of positive integer factors of 59500 that divides 59481 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 50, 68, 70, 85, 100, 119, 125, 140, 170, 175, 238, 250, 340, 350, 425, 476, 500, 595, 700, 850, 875, 1190, 1700, 1750, 2125, 2380, 2975, 3500, 4250, 5950, 8500, 11900, 14875, 29750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59481 and 59500. The biggest common factor number is the GCF number.
So the greatest common factor 59481 and 59500 is 1.

Also check out the Least Common Multiple of 59481 and 59500