What is the Greatest Common Factor of 58995 and 59000?

Greatest common factor (GCF) of 58995 and 59000 is 5.

GCF(58995,59000) = 5

We will now calculate the prime factors of 58995 and 59000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58995 and 59000.

How to find the GCF of 58995 and 59000?

We will first find the prime factorization of 58995 and 59000. After we will calculate the factors of 58995 and 59000 and find the biggest common factor number .

Step-1: Prime Factorization of 58995

Prime factors of 58995 are 3, 5, 19, 23. Prime factorization of 58995 in exponential form is:

58995 = 3³ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 59000

Prime factors of 59000 are 2, 5, 59. Prime factorization of 59000 in exponential form is:

59000 = 2³ × 5³ × 59¹

Step-3: Factors of 58995

List of positive integer factors of 58995 that divides 58995 without a remainder.

1, 3, 5, 9, 15, 19, 23, 27, 45, 57, 69, 95, 115, 135, 171, 207, 285, 345, 437, 513, 621, 855, 1035, 1311, 2185, 2565, 3105, 3933, 6555, 11799, 19665

Step-4: Factors of 59000

List of positive integer factors of 59000 that divides 58995 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 59, 100, 118, 125, 200, 236, 250, 295, 472, 500, 590, 1000, 1180, 1475, 2360, 2950, 5900, 7375, 11800, 14750, 29500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58995 and 59000. The biggest common factor number is the GCF number.
So the greatest common factor 58995 and 59000 is 5.

Also check out the Least Common Multiple of 58995 and 59000