What is the Greatest Common Factor of 96005 and 96018?

Greatest common factor (GCF) of 96005 and 96018 is 13.

GCF(96005,96018) = 13

We will now calculate the prime factors of 96005 and 96018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96005 and 96018.

How to find the GCF of 96005 and 96018?

We will first find the prime factorization of 96005 and 96018. After we will calculate the factors of 96005 and 96018 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 96018

Prime factors of 96018 are 2, 3, 13, 1231. Prime factorization of 96018 in exponential form is:

96018 = 2¹ × 3¹ × 13¹ × 1231¹

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 96018

List of positive integer factors of 96018 that divides 96005 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1231, 2462, 3693, 7386, 16003, 32006, 48009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96005 and 96018. The biggest common factor number is the GCF number.
So the greatest common factor 96005 and 96018 is 13.

Also check out the Least Common Multiple of 96005 and 96018