What is the Greatest Common Factor of 96005 and 96023?

Greatest common factor (GCF) of 96005 and 96023 is 1.

GCF(96005,96023) = 1

We will now calculate the prime factors of 96005 and 96023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96005 and 96023.

How to find the GCF of 96005 and 96023?

We will first find the prime factorization of 96005 and 96023. After we will calculate the factors of 96005 and 96023 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 96023

Prime factors of 96023 are 131, 733. Prime factorization of 96023 in exponential form is:

96023 = 131¹ × 733¹

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 96023

List of positive integer factors of 96023 that divides 96005 without a remainder.

1, 131, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96005 and 96023. The biggest common factor number is the GCF number.
So the greatest common factor 96005 and 96023 is 1.

Also check out the Least Common Multiple of 96005 and 96023