What is the Greatest Common Factor of 86004 and 86022?

Greatest common factor (GCF) of 86004 and 86022 is 18.

GCF(86004,86022) = 18

We will now calculate the prime factors of 86004 and 86022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86004 and 86022.

How to find the GCF of 86004 and 86022?

We will first find the prime factorization of 86004 and 86022. After we will calculate the factors of 86004 and 86022 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 86022

Prime factors of 86022 are 2, 3, 59. Prime factorization of 86022 in exponential form is:

86022 = 2¹ × 3⁶ × 59¹

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 86022

List of positive integer factors of 86022 that divides 86004 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 243, 354, 486, 531, 729, 1062, 1458, 1593, 3186, 4779, 9558, 14337, 28674, 43011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86004 and 86022. The biggest common factor number is the GCF number.
So the greatest common factor 86004 and 86022 is 18.

Also check out the Least Common Multiple of 86004 and 86022