What is the Greatest Common Factor of 96160 and 96176?

Greatest common factor (GCF) of 96160 and 96176 is 16.

GCF(96160,96176) = 16

We will now calculate the prime factors of 96160 and 96176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96160 and 96176.

How to find the GCF of 96160 and 96176?

We will first find the prime factorization of 96160 and 96176. After we will calculate the factors of 96160 and 96176 and find the biggest common factor number .

Step-1: Prime Factorization of 96160

Prime factors of 96160 are 2, 5, 601. Prime factorization of 96160 in exponential form is:

96160 = 2⁵ × 5¹ × 601¹

Step-2: Prime Factorization of 96176

Prime factors of 96176 are 2, 6011. Prime factorization of 96176 in exponential form is:

96176 = 2⁴ × 6011¹

Step-3: Factors of 96160

List of positive integer factors of 96160 that divides 96160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 601, 1202, 2404, 3005, 4808, 6010, 9616, 12020, 19232, 24040, 48080

Step-4: Factors of 96176

List of positive integer factors of 96176 that divides 96160 without a remainder.

1, 2, 4, 8, 16, 6011, 12022, 24044, 48088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96160 and 96176. The biggest common factor number is the GCF number.
So the greatest common factor 96160 and 96176 is 16.

Also check out the Least Common Multiple of 96160 and 96176