What is the Greatest Common Factor of 92160 and 92175?

Greatest common factor (GCF) of 92160 and 92175 is 15.

GCF(92160,92175) = 15

We will now calculate the prime factors of 92160 and 92175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92160 and 92175.

How to find the GCF of 92160 and 92175?

We will first find the prime factorization of 92160 and 92175. After we will calculate the factors of 92160 and 92175 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 92175

Prime factors of 92175 are 3, 5, 1229. Prime factorization of 92175 in exponential form is:

92175 = 3¹ × 5² × 1229¹

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 92175

List of positive integer factors of 92175 that divides 92160 without a remainder.

1, 3, 5, 15, 25, 75, 1229, 3687, 6145, 18435, 30725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92160 and 92175. The biggest common factor number is the GCF number.
So the greatest common factor 92160 and 92175 is 15.

Also check out the Least Common Multiple of 92160 and 92175