What is the Greatest Common Factor of 86000 and 86004?

Greatest common factor (GCF) of 86000 and 86004 is 4.

GCF(86000,86004) = 4

We will now calculate the prime factors of 86000 and 86004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86000 and 86004.

How to find the GCF of 86000 and 86004?

We will first find the prime factorization of 86000 and 86004. After we will calculate the factors of 86000 and 86004 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 86004

Prime factors of 86004 are 2, 3, 2389. Prime factorization of 86004 in exponential form is:

86004 = 2² × 3² × 2389¹

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 86004

List of positive integer factors of 86004 that divides 86000 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2389, 4778, 7167, 9556, 14334, 21501, 28668, 43002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86000 and 86004. The biggest common factor number is the GCF number.
So the greatest common factor 86000 and 86004 is 4.

Also check out the Least Common Multiple of 86000 and 86004