What is the Greatest Common Factor of 92160 and 92170?

Greatest common factor (GCF) of 92160 and 92170 is 10.

GCF(92160,92170) = 10

We will now calculate the prime factors of 92160 and 92170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92160 and 92170.

How to find the GCF of 92160 and 92170?

We will first find the prime factorization of 92160 and 92170. After we will calculate the factors of 92160 and 92170 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 92170

Prime factors of 92170 are 2, 5, 13, 709. Prime factorization of 92170 in exponential form is:

92170 = 2¹ × 5¹ × 13¹ × 709¹

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 92170

List of positive integer factors of 92170 that divides 92160 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 709, 1418, 3545, 7090, 9217, 18434, 46085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92160 and 92170. The biggest common factor number is the GCF number.
So the greatest common factor 92160 and 92170 is 10.

Also check out the Least Common Multiple of 92160 and 92170