What is the Greatest Common Factor of 92250 and 92262?

Greatest common factor (GCF) of 92250 and 92262 is 6.

GCF(92250,92262) = 6

We will now calculate the prime factors of 92250 and 92262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92250 and 92262.

How to find the GCF of 92250 and 92262?

We will first find the prime factorization of 92250 and 92262. After we will calculate the factors of 92250 and 92262 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 92262

Prime factors of 92262 are 2, 3, 15377. Prime factorization of 92262 in exponential form is:

92262 = 2¹ × 3¹ × 15377¹

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 92262

List of positive integer factors of 92262 that divides 92250 without a remainder.

1, 2, 3, 6, 15377, 30754, 46131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92250 and 92262. The biggest common factor number is the GCF number.
So the greatest common factor 92250 and 92262 is 6.

Also check out the Least Common Multiple of 92250 and 92262