What is the Greatest Common Factor of 96005 and 96024?

Greatest common factor (GCF) of 96005 and 96024 is 1.

GCF(96005,96024) = 1

We will now calculate the prime factors of 96005 and 96024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96005 and 96024.

How to find the GCF of 96005 and 96024?

We will first find the prime factorization of 96005 and 96024. After we will calculate the factors of 96005 and 96024 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 96024

Prime factors of 96024 are 2, 3, 4001. Prime factorization of 96024 in exponential form is:

96024 = 2³ × 3¹ × 4001¹

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 96024

List of positive integer factors of 96024 that divides 96005 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4001, 8002, 12003, 16004, 24006, 32008, 48012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96005 and 96024. The biggest common factor number is the GCF number.
So the greatest common factor 96005 and 96024 is 1.

Also check out the Least Common Multiple of 96005 and 96024