What is the Greatest Common Factor of 85986 and 86004?

Greatest common factor (GCF) of 85986 and 86004 is 18.

GCF(85986,86004) = 18

We will now calculate the prime factors of 85986 and 86004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85986 and 86004.

How to find the GCF of 85986 and 86004?

We will first find the prime factorization of 85986 and 86004. After we will calculate the factors of 85986 and 86004 and find the biggest common factor number .

Step-1: Prime Factorization of 85986

Prime factors of 85986 are 2, 3, 17, 281. Prime factorization of 85986 in exponential form is:

85986 = 2¹ × 3² × 17¹ × 281¹

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 85986

List of positive integer factors of 85986 that divides 85986 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 281, 306, 562, 843, 1686, 2529, 4777, 5058, 9554, 14331, 28662, 42993

Step-4: Factors of 86004

List of positive integer factors of 86004 that divides 85986 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 85986 and 86004. The biggest common factor number is the GCF number.
So the greatest common factor 85986 and 86004 is 18.

Also check out the Least Common Multiple of 85986 and 86004