What is the Greatest Common Factor of 92160 and 92168?

Greatest common factor (GCF) of 92160 and 92168 is 8.

GCF(92160,92168) = 8

We will now calculate the prime factors of 92160 and 92168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92160 and 92168.

How to find the GCF of 92160 and 92168?

We will first find the prime factorization of 92160 and 92168. After we will calculate the factors of 92160 and 92168 and find the biggest common factor number .

Step-1: Prime Factorization of 92160

Prime factors of 92160 are 2, 3, 5. Prime factorization of 92160 in exponential form is:

92160 = 2¹¹ × 3² × 5¹

Step-2: Prime Factorization of 92168

Prime factors of 92168 are 2, 41, 281. Prime factorization of 92168 in exponential form is:

92168 = 2³ × 41¹ × 281¹

Step-3: Factors of 92160

List of positive integer factors of 92160 that divides 92160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 512, 576, 640, 720, 768, 960, 1024, 1152, 1280, 1440, 1536, 1920, 2048, 2304, 2560, 2880, 3072, 3840, 4608, 5120, 5760, 6144, 7680, 9216, 10240, 11520, 15360, 18432, 23040, 30720, 46080

Step-4: Factors of 92168

List of positive integer factors of 92168 that divides 92160 without a remainder.

1, 2, 4, 8, 41, 82, 164, 281, 328, 562, 1124, 2248, 11521, 23042, 46084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92160 and 92168. The biggest common factor number is the GCF number.
So the greatest common factor 92160 and 92168 is 8.

Also check out the Least Common Multiple of 92160 and 92168