What is the Greatest Common Factor of 86000 and 86005?

Greatest common factor (GCF) of 86000 and 86005 is 5.

GCF(86000,86005) = 5

We will now calculate the prime factors of 86000 and 86005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86000 and 86005.

How to find the GCF of 86000 and 86005?

We will first find the prime factorization of 86000 and 86005. After we will calculate the factors of 86000 and 86005 and find the biggest common factor number .

Step-1: Prime Factorization of 86000

Prime factors of 86000 are 2, 5, 43. Prime factorization of 86000 in exponential form is:

86000 = 2⁴ × 5³ × 43¹

Step-2: Prime Factorization of 86005

Prime factors of 86005 are 5, 103, 167. Prime factorization of 86005 in exponential form is:

86005 = 5¹ × 103¹ × 167¹

Step-3: Factors of 86000

List of positive integer factors of 86000 that divides 86000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 43, 50, 80, 86, 100, 125, 172, 200, 215, 250, 344, 400, 430, 500, 688, 860, 1000, 1075, 1720, 2000, 2150, 3440, 4300, 5375, 8600, 10750, 17200, 21500, 43000

Step-4: Factors of 86005

List of positive integer factors of 86005 that divides 86000 without a remainder.

1, 5, 103, 167, 515, 835, 17201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86000 and 86005. The biggest common factor number is the GCF number.
So the greatest common factor 86000 and 86005 is 5.

Also check out the Least Common Multiple of 86000 and 86005