What is the Greatest Common Factor of 86000 and 86018?

Greatest common factor (GCF) of 86000 and 86018 is 2.

GCF(86000,86018) = 2

We will now calculate the prime factors of 86000 and 86018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86000 and 86018.

How to find the GCF of 86000 and 86018?

We will first find the prime factorization of 86000 and 86018. After we will calculate the factors of 86000 and 86018 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 86018

Prime factors of 86018 are 2, 41, 1049. Prime factorization of 86018 in exponential form is:

86018 = 2¹ × 41¹ × 1049¹

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 86018

List of positive integer factors of 86018 that divides 86000 without a remainder.

1, 2, 41, 82, 1049, 2098, 43009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86000 and 86018. The biggest common factor number is the GCF number.
So the greatest common factor 86000 and 86018 is 2.

Also check out the Least Common Multiple of 86000 and 86018