What is the Greatest Common Factor of 92160 and 92172?

Greatest common factor (GCF) of 92160 and 92172 is 12.

GCF(92160,92172) = 12

We will now calculate the prime factors of 92160 and 92172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92160 and 92172.

How to find the GCF of 92160 and 92172?

We will first find the prime factorization of 92160 and 92172. After we will calculate the factors of 92160 and 92172 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 92172

Prime factors of 92172 are 2, 3, 7681. Prime factorization of 92172 in exponential form is:

92172 = 2² × 3¹ × 7681¹

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 92172

List of positive integer factors of 92172 that divides 92160 without a remainder.

1, 2, 3, 4, 6, 12, 7681, 15362, 23043, 30724, 46086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92160 and 92172. The biggest common factor number is the GCF number.
So the greatest common factor 92160 and 92172 is 12.

Also check out the Least Common Multiple of 92160 and 92172