What is the Greatest Common Factor of 59000 and 59020?

Greatest common factor (GCF) of 59000 and 59020 is 20.

GCF(59000,59020) = 20

We will now calculate the prime factors of 59000 and 59020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59000 and 59020.

How to find the GCF of 59000 and 59020?

We will first find the prime factorization of 59000 and 59020. After we will calculate the factors of 59000 and 59020 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 59020

Prime factors of 59020 are 2, 5, 13, 227. Prime factorization of 59020 in exponential form is:

59020 = 2² × 5¹ × 13¹ × 227¹

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 59020

List of positive integer factors of 59020 that divides 59000 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 227, 260, 454, 908, 1135, 2270, 2951, 4540, 5902, 11804, 14755, 29510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59000 and 59020. The biggest common factor number is the GCF number.
So the greatest common factor 59000 and 59020 is 20.

Also check out the Least Common Multiple of 59000 and 59020