What is the Greatest Common Factor of 92280 and 92295?

Greatest common factor (GCF) of 92280 and 92295 is 15.

GCF(92280,92295) = 15

We will now calculate the prime factors of 92280 and 92295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92280 and 92295.

How to find the GCF of 92280 and 92295?

We will first find the prime factorization of 92280 and 92295. After we will calculate the factors of 92280 and 92295 and find the biggest common factor number .

Step-1: Prime Factorization of 92280

Prime factors of 92280 are 2, 3, 5, 769. Prime factorization of 92280 in exponential form is:

92280 = 2³ × 3¹ × 5¹ × 769¹

Step-2: 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-3: Factors of 92280

List of positive integer factors of 92280 that divides 92280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 769, 1538, 2307, 3076, 3845, 4614, 6152, 7690, 9228, 11535, 15380, 18456, 23070, 30760, 46140

Step-4: Factors of 92295

List of positive integer factors of 92295 that divides 92280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92280 and 92295. The biggest common factor number is the GCF number.
So the greatest common factor 92280 and 92295 is 15.

Also check out the Least Common Multiple of 92280 and 92295