What is the Greatest Common Factor of 59000 and 59009?

Greatest common factor (GCF) of 59000 and 59009 is 1.

GCF(59000,59009) = 1

We will now calculate the prime factors of 59000 and 59009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59000 and 59009.

How to find the GCF of 59000 and 59009?

We will first find the prime factorization of 59000 and 59009. After we will calculate the factors of 59000 and 59009 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 59009

Prime factors of 59009 are 59009. Prime factorization of 59009 in exponential form is:

59009 = 59009¹

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 59009

List of positive integer factors of 59009 that divides 59000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59000 and 59009. The biggest common factor number is the GCF number.
So the greatest common factor 59000 and 59009 is 1.

Also check out the Least Common Multiple of 59000 and 59009