What is the Greatest Common Factor of 58992 and 59000?

Greatest common factor (GCF) of 58992 and 59000 is 8.

GCF(58992,59000) = 8

We will now calculate the prime factors of 58992 and 59000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58992 and 59000.

How to find the GCF of 58992 and 59000?

We will first find the prime factorization of 58992 and 59000. After we will calculate the factors of 58992 and 59000 and find the biggest common factor number .

Step-1: Prime Factorization of 58992

Prime factors of 58992 are 2, 3, 1229. Prime factorization of 58992 in exponential form is:

58992 = 2⁴ × 3¹ × 1229¹

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 58992

List of positive integer factors of 58992 that divides 58992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1229, 2458, 3687, 4916, 7374, 9832, 14748, 19664, 29496

Step-4: Factors of 59000

List of positive integer factors of 59000 that divides 58992 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 58992 and 59000. The biggest common factor number is the GCF number.
So the greatest common factor 58992 and 59000 is 8.

Also check out the Least Common Multiple of 58992 and 59000