What is the Greatest Common Factor of 92250 and 92270?

Greatest common factor (GCF) of 92250 and 92270 is 10.

GCF(92250,92270) = 10

We will now calculate the prime factors of 92250 and 92270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92250 and 92270.

How to find the GCF of 92250 and 92270?

We will first find the prime factorization of 92250 and 92270. After we will calculate the factors of 92250 and 92270 and find the biggest common factor number .

Step-1: Prime Factorization of 92250

Prime factors of 92250 are 2, 3, 5, 41. Prime factorization of 92250 in exponential form is:

92250 = 2¹ × 3² × 5³ × 41¹

Step-2: Prime Factorization of 92270

Prime factors of 92270 are 2, 5, 9227. Prime factorization of 92270 in exponential form is:

92270 = 2¹ × 5¹ × 9227¹

Step-3: Factors of 92250

List of positive integer factors of 92250 that divides 92250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 41, 45, 50, 75, 82, 90, 123, 125, 150, 205, 225, 246, 250, 369, 375, 410, 450, 615, 738, 750, 1025, 1125, 1230, 1845, 2050, 2250, 3075, 3690, 5125, 6150, 9225, 10250, 15375, 18450, 30750, 46125

Step-4: Factors of 92270

List of positive integer factors of 92270 that divides 92250 without a remainder.

1, 2, 5, 10, 9227, 18454, 46135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92250 and 92270. The biggest common factor number is the GCF number.
So the greatest common factor 92250 and 92270 is 10.

Also check out the Least Common Multiple of 92250 and 92270