What is the Greatest Common Factor of 96005 and 96010?

Greatest common factor (GCF) of 96005 and 96010 is 5.

GCF(96005,96010) = 5

We will now calculate the prime factors of 96005 and 96010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96005 and 96010.

How to find the GCF of 96005 and 96010?

We will first find the prime factorization of 96005 and 96010. After we will calculate the factors of 96005 and 96010 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 96010

Prime factors of 96010 are 2, 5, 9601. Prime factorization of 96010 in exponential form is:

96010 = 2¹ × 5¹ × 9601¹

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 96010

List of positive integer factors of 96010 that divides 96005 without a remainder.

1, 2, 5, 10, 9601, 19202, 48005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96005 and 96010. The biggest common factor number is the GCF number.
So the greatest common factor 96005 and 96010 is 5.

Also check out the Least Common Multiple of 96005 and 96010