What is the Greatest Common Factor of 96145 and 96160?

Greatest common factor (GCF) of 96145 and 96160 is 5.

GCF(96145,96160) = 5

We will now calculate the prime factors of 96145 and 96160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96145 and 96160.

How to find the GCF of 96145 and 96160?

We will first find the prime factorization of 96145 and 96160. After we will calculate the factors of 96145 and 96160 and find the biggest common factor number .

Step-1: Prime Factorization of 96145

Prime factors of 96145 are 5, 7, 41, 67. Prime factorization of 96145 in exponential form is:

96145 = 5¹ × 7¹ × 41¹ × 67¹

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 96145

List of positive integer factors of 96145 that divides 96145 without a remainder.

1, 5, 7, 35, 41, 67, 205, 287, 335, 469, 1435, 2345, 2747, 13735, 19229

Step-4: Factors of 96160

List of positive integer factors of 96160 that divides 96145 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 96145 and 96160. The biggest common factor number is the GCF number.
So the greatest common factor 96145 and 96160 is 5.

Also check out the Least Common Multiple of 96145 and 96160