What is the Greatest Common Factor of 92145 and 92160?

Greatest common factor (GCF) of 92145 and 92160 is 15.

GCF(92145,92160) = 15

We will now calculate the prime factors of 92145 and 92160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92145 and 92160.

How to find the GCF of 92145 and 92160?

We will first find the prime factorization of 92145 and 92160. After we will calculate the factors of 92145 and 92160 and find the biggest common factor number .

Step-1: Prime Factorization of 92145

Prime factors of 92145 are 3, 5, 6143. Prime factorization of 92145 in exponential form is:

92145 = 3¹ × 5¹ × 6143¹

Step-2: 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-3: Factors of 92145

List of positive integer factors of 92145 that divides 92145 without a remainder.

1, 3, 5, 15, 6143, 18429, 30715

Step-4: Factors of 92160

List of positive integer factors of 92160 that divides 92145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92145 and 92160. The biggest common factor number is the GCF number.
So the greatest common factor 92145 and 92160 is 15.

Also check out the Least Common Multiple of 92145 and 92160