What is the Greatest Common Factor of 92295 and 92310?

Greatest common factor (GCF) of 92295 and 92310 is 15.

GCF(92295,92310) = 15

We will now calculate the prime factors of 92295 and 92310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92295 and 92310.

How to find the GCF of 92295 and 92310?

We will first find the prime factorization of 92295 and 92310. After we will calculate the factors of 92295 and 92310 and find the biggest common factor number .

Step-1: Prime Factorization of 92295

Prime factors of 92295 are 3, 5, 7, 293. Prime factorization of 92295 in exponential form is:

92295 = 3² × 5¹ × 7¹ × 293¹

Step-2: Prime Factorization of 92310

Prime factors of 92310 are 2, 3, 5, 17, 181. Prime factorization of 92310 in exponential form is:

92310 = 2¹ × 3¹ × 5¹ × 17¹ × 181¹

Step-3: Factors of 92295

List of positive integer factors of 92295 that divides 92295 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 293, 315, 879, 1465, 2051, 2637, 4395, 6153, 10255, 13185, 18459, 30765

Step-4: Factors of 92310

List of positive integer factors of 92310 that divides 92295 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 181, 255, 362, 510, 543, 905, 1086, 1810, 2715, 3077, 5430, 6154, 9231, 15385, 18462, 30770, 46155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92295 and 92310. The biggest common factor number is the GCF number.
So the greatest common factor 92295 and 92310 is 15.

Also check out the Least Common Multiple of 92295 and 92310