What is the Greatest Common Factor of 59000 and 59004?

Greatest common factor (GCF) of 59000 and 59004 is 4.

GCF(59000,59004) = 4

We will now calculate the prime factors of 59000 and 59004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59000 and 59004.

How to find the GCF of 59000 and 59004?

We will first find the prime factorization of 59000 and 59004. After we will calculate the factors of 59000 and 59004 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59004

Prime factors of 59004 are 2, 3, 11, 149. Prime factorization of 59004 in exponential form is:

59004 = 2² × 3² × 11¹ × 149¹

Step-3: Factors of 59000

List of positive integer factors of 59000 that divides 59000 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

Step-4: Factors of 59004

List of positive integer factors of 59004 that divides 59000 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 149, 198, 298, 396, 447, 596, 894, 1341, 1639, 1788, 2682, 3278, 4917, 5364, 6556, 9834, 14751, 19668, 29502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59000 and 59004. The biggest common factor number is the GCF number.
So the greatest common factor 59000 and 59004 is 4.

Also check out the Least Common Multiple of 59000 and 59004