What is the Greatest Common Factor of 86005 and 86024?

Greatest common factor (GCF) of 86005 and 86024 is 1.

GCF(86005,86024) = 1

We will now calculate the prime factors of 86005 and 86024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86005 and 86024.

How to find the GCF of 86005 and 86024?

We will first find the prime factorization of 86005 and 86024. After we will calculate the factors of 86005 and 86024 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 86024

Prime factors of 86024 are 2, 10753. Prime factorization of 86024 in exponential form is:

86024 = 2³ × 10753¹

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 86024

List of positive integer factors of 86024 that divides 86005 without a remainder.

1, 2, 4, 8, 10753, 21506, 43012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86005 and 86024. The biggest common factor number is the GCF number.
So the greatest common factor 86005 and 86024 is 1.

Also check out the Least Common Multiple of 86005 and 86024