What is the Greatest Common Factor of 92250 and 92265?

Greatest common factor (GCF) of 92250 and 92265 is 15.

GCF(92250,92265) = 15

We will now calculate the prime factors of 92250 and 92265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92250 and 92265.

How to find the GCF of 92250 and 92265?

We will first find the prime factorization of 92250 and 92265. After we will calculate the factors of 92250 and 92265 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 92265

Prime factors of 92265 are 3, 5, 6151. Prime factorization of 92265 in exponential form is:

92265 = 3¹ × 5¹ × 6151¹

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 92265

List of positive integer factors of 92265 that divides 92250 without a remainder.

1, 3, 5, 15, 6151, 18453, 30755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92250 and 92265. The biggest common factor number is the GCF number.
So the greatest common factor 92250 and 92265 is 15.

Also check out the Least Common Multiple of 92250 and 92265