What is the Greatest Common Factor of 92288 and 92295?

Greatest common factor (GCF) of 92288 and 92295 is 7.

GCF(92288,92295) = 7

We will now calculate the prime factors of 92288 and 92295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92288 and 92295.

How to find the GCF of 92288 and 92295?

We will first find the prime factorization of 92288 and 92295. After we will calculate the factors of 92288 and 92295 and find the biggest common factor number .

Step-1: Prime Factorization of 92288

Prime factors of 92288 are 2, 7, 103. Prime factorization of 92288 in exponential form is:

92288 = 2⁷ × 7¹ × 103¹

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 92288

List of positive integer factors of 92288 that divides 92288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 103, 112, 128, 206, 224, 412, 448, 721, 824, 896, 1442, 1648, 2884, 3296, 5768, 6592, 11536, 13184, 23072, 46144

Step-4: Factors of 92295

List of positive integer factors of 92295 that divides 92288 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 92288 and 92295. The biggest common factor number is the GCF number.
So the greatest common factor 92288 and 92295 is 7.

Also check out the Least Common Multiple of 92288 and 92295