What is the Greatest Common Factor of 92160 and 92164?

Greatest common factor (GCF) of 92160 and 92164 is 4.

GCF(92160,92164) = 4

We will now calculate the prime factors of 92160 and 92164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92160 and 92164.

How to find the GCF of 92160 and 92164?

We will first find the prime factorization of 92160 and 92164. After we will calculate the factors of 92160 and 92164 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 92164

Prime factors of 92164 are 2, 23041. Prime factorization of 92164 in exponential form is:

92164 = 2² × 23041¹

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 92164

List of positive integer factors of 92164 that divides 92160 without a remainder.

1, 2, 4, 23041, 46082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92160 and 92164. The biggest common factor number is the GCF number.
So the greatest common factor 92160 and 92164 is 4.

Also check out the Least Common Multiple of 92160 and 92164