What is the Greatest Common Factor of 87000 and 87020?

Greatest common factor (GCF) of 87000 and 87020 is 20.

GCF(87000,87020) = 20

We will now calculate the prime factors of 87000 and 87020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87000 and 87020.

How to find the GCF of 87000 and 87020?

We will first find the prime factorization of 87000 and 87020. After we will calculate the factors of 87000 and 87020 and find the biggest common factor number .

Step-1: Prime Factorization of 87000

Prime factors of 87000 are 2, 3, 5, 29. Prime factorization of 87000 in exponential form is:

87000 = 2³ × 3¹ × 5³ × 29¹

Step-2: Prime Factorization of 87020

Prime factors of 87020 are 2, 5, 19, 229. Prime factorization of 87020 in exponential form is:

87020 = 2² × 5¹ × 19¹ × 229¹

Step-3: Factors of 87000

List of positive integer factors of 87000 that divides 87000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 29, 30, 40, 50, 58, 60, 75, 87, 100, 116, 120, 125, 145, 150, 174, 200, 232, 250, 290, 300, 348, 375, 435, 500, 580, 600, 696, 725, 750, 870, 1000, 1160, 1450, 1500, 1740, 2175, 2900, 3000, 3480, 3625, 4350, 5800, 7250, 8700, 10875, 14500, 17400, 21750, 29000, 43500

Step-4: Factors of 87020

List of positive integer factors of 87020 that divides 87000 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 229, 380, 458, 916, 1145, 2290, 4351, 4580, 8702, 17404, 21755, 43510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87000 and 87020. The biggest common factor number is the GCF number.
So the greatest common factor 87000 and 87020 is 20.

Also check out the Least Common Multiple of 87000 and 87020