What is the Greatest Common Factor of 96005 and 96017?

Greatest common factor (GCF) of 96005 and 96017 is 1.

GCF(96005,96017) = 1

We will now calculate the prime factors of 96005 and 96017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96005 and 96017.

How to find the GCF of 96005 and 96017?

We will first find the prime factorization of 96005 and 96017. After we will calculate the factors of 96005 and 96017 and find the biggest common factor number .

Step-1: Prime Factorization of 96005

Prime factors of 96005 are 5, 7, 13, 211. Prime factorization of 96005 in exponential form is:

96005 = 5¹ × 7¹ × 13¹ × 211¹

Step-2: Prime Factorization of 96017

Prime factors of 96017 are 96017. Prime factorization of 96017 in exponential form is:

96017 = 96017¹

Step-3: Factors of 96005

List of positive integer factors of 96005 that divides 96005 without a remainder.

1, 5, 7, 13, 35, 65, 91, 211, 455, 1055, 1477, 2743, 7385, 13715, 19201

Step-4: Factors of 96017

List of positive integer factors of 96017 that divides 96005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96005 and 96017. The biggest common factor number is the GCF number.
So the greatest common factor 96005 and 96017 is 1.

Also check out the Least Common Multiple of 96005 and 96017