What is the Greatest Common Factor of 92160 and 92167?

Greatest common factor (GCF) of 92160 and 92167 is 1.

GCF(92160,92167) = 1

We will now calculate the prime factors of 92160 and 92167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92160 and 92167.

How to find the GCF of 92160 and 92167?

We will first find the prime factorization of 92160 and 92167. After we will calculate the factors of 92160 and 92167 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 92167

Prime factors of 92167 are 37, 47, 53. Prime factorization of 92167 in exponential form is:

92167 = 37¹ × 47¹ × 53¹

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 92167

List of positive integer factors of 92167 that divides 92160 without a remainder.

1, 37, 47, 53, 1739, 1961, 2491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92160 and 92167. The biggest common factor number is the GCF number.
So the greatest common factor 92160 and 92167 is 1.

Also check out the Least Common Multiple of 92160 and 92167