What is the Greatest Common Factor of 87000 and 87005?

Greatest common factor (GCF) of 87000 and 87005 is 5.

GCF(87000,87005) = 5

We will now calculate the prime factors of 87000 and 87005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87000 and 87005.

How to find the GCF of 87000 and 87005?

We will first find the prime factorization of 87000 and 87005. After we will calculate the factors of 87000 and 87005 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 87005

Prime factors of 87005 are 5, 17401. Prime factorization of 87005 in exponential form is:

87005 = 5¹ × 17401¹

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 87005

List of positive integer factors of 87005 that divides 87000 without a remainder.

1, 5, 17401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87000 and 87005. The biggest common factor number is the GCF number.
So the greatest common factor 87000 and 87005 is 5.

Also check out the Least Common Multiple of 87000 and 87005