What is the Greatest Common Factor of 86004 and 86019?

Greatest common factor (GCF) of 86004 and 86019 is 3.

GCF(86004,86019) = 3

We will now calculate the prime factors of 86004 and 86019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86004 and 86019.

How to find the GCF of 86004 and 86019?

We will first find the prime factorization of 86004 and 86019. After we will calculate the factors of 86004 and 86019 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86019

Prime factors of 86019 are 3, 53, 541. Prime factorization of 86019 in exponential form is:

86019 = 3¹ × 53¹ × 541¹

Step-3: Factors of 86004

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

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

Step-4: Factors of 86019

List of positive integer factors of 86019 that divides 86004 without a remainder.

1, 3, 53, 159, 541, 1623, 28673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86004 and 86019. The biggest common factor number is the GCF number.
So the greatest common factor 86004 and 86019 is 3.

Also check out the Least Common Multiple of 86004 and 86019