What is the Greatest Common Factor of 86005 and 86022?

Greatest common factor (GCF) of 86005 and 86022 is 1.

GCF(86005,86022) = 1

We will now calculate the prime factors of 86005 and 86022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86005 and 86022.

How to find the GCF of 86005 and 86022?

We will first find the prime factorization of 86005 and 86022. After we will calculate the factors of 86005 and 86022 and find the biggest common factor number .

Step-1: Prime Factorization of 86005

Prime factors of 86005 are 5, 103, 167. Prime factorization of 86005 in exponential form is:

86005 = 5¹ × 103¹ × 167¹

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 86005

List of positive integer factors of 86005 that divides 86005 without a remainder.

1, 5, 103, 167, 515, 835, 17201

Step-4: Factors of 86022

List of positive integer factors of 86022 that divides 86005 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 86005 and 86022. The biggest common factor number is the GCF number.
So the greatest common factor 86005 and 86022 is 1.

Also check out the Least Common Multiple of 86005 and 86022