What is the Greatest Common Factor of 59493 and 59500?

Greatest common factor (GCF) of 59493 and 59500 is 7.

GCF(59493,59500) = 7

We will now calculate the prime factors of 59493 and 59500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59493 and 59500.

How to find the GCF of 59493 and 59500?

We will first find the prime factorization of 59493 and 59500. After we will calculate the factors of 59493 and 59500 and find the biggest common factor number .

Step-1: Prime Factorization of 59493

Prime factors of 59493 are 3, 7, 2833. Prime factorization of 59493 in exponential form is:

59493 = 3¹ × 7¹ × 2833¹

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 59493

List of positive integer factors of 59493 that divides 59493 without a remainder.

1, 3, 7, 21, 2833, 8499, 19831

Step-4: Factors of 59500

List of positive integer factors of 59500 that divides 59493 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 59493 and 59500. The biggest common factor number is the GCF number.
So the greatest common factor 59493 and 59500 is 7.

Also check out the Least Common Multiple of 59493 and 59500