What is the Greatest Common Factor of 96160 and 96167?

Greatest common factor (GCF) of 96160 and 96167 is 1.

GCF(96160,96167) = 1

We will now calculate the prime factors of 96160 and 96167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96160 and 96167.

How to find the GCF of 96160 and 96167?

We will first find the prime factorization of 96160 and 96167. After we will calculate the factors of 96160 and 96167 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 96167

Prime factors of 96167 are 96167. Prime factorization of 96167 in exponential form is:

96167 = 96167¹

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 96167

List of positive integer factors of 96167 that divides 96160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96160 and 96167. The biggest common factor number is the GCF number.
So the greatest common factor 96160 and 96167 is 1.

Also check out the Least Common Multiple of 96160 and 96167