What is the Greatest Common Factor of 92235 and 92250?

Greatest common factor (GCF) of 92235 and 92250 is 15.

GCF(92235,92250) = 15

We will now calculate the prime factors of 92235 and 92250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92235 and 92250.

How to find the GCF of 92235 and 92250?

We will first find the prime factorization of 92235 and 92250. After we will calculate the factors of 92235 and 92250 and find the biggest common factor number .

Step-1: Prime Factorization of 92235

Prime factors of 92235 are 3, 5, 11, 13, 43. Prime factorization of 92235 in exponential form is:

92235 = 3¹ × 5¹ × 11¹ × 13¹ × 43¹

Step-2: 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-3: Factors of 92235

List of positive integer factors of 92235 that divides 92235 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 43, 55, 65, 129, 143, 165, 195, 215, 429, 473, 559, 645, 715, 1419, 1677, 2145, 2365, 2795, 6149, 7095, 8385, 18447, 30745

Step-4: Factors of 92250

List of positive integer factors of 92250 that divides 92235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92235 and 92250. The biggest common factor number is the GCF number.
So the greatest common factor 92235 and 92250 is 15.

Also check out the Least Common Multiple of 92235 and 92250