What is the Greatest Common Factor of 96144 and 96160?

Greatest common factor (GCF) of 96144 and 96160 is 16.

GCF(96144,96160) = 16

We will now calculate the prime factors of 96144 and 96160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96144 and 96160.

How to find the GCF of 96144 and 96160?

We will first find the prime factorization of 96144 and 96160. After we will calculate the factors of 96144 and 96160 and find the biggest common factor number .

Step-1: Prime Factorization of 96144

Prime factors of 96144 are 2, 3, 2003. Prime factorization of 96144 in exponential form is:

96144 = 2⁴ × 3¹ × 2003¹

Step-2: 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-3: Factors of 96144

List of positive integer factors of 96144 that divides 96144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2003, 4006, 6009, 8012, 12018, 16024, 24036, 32048, 48072

Step-4: Factors of 96160

List of positive integer factors of 96160 that divides 96144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96144 and 96160. The biggest common factor number is the GCF number.
So the greatest common factor 96144 and 96160 is 16.

Also check out the Least Common Multiple of 96144 and 96160