What is the Greatest Common Factor of 92225 and 92230?

Greatest common factor (GCF) of 92225 and 92230 is 5.

GCF(92225,92230) = 5

We will now calculate the prime factors of 92225 and 92230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92225 and 92230.

How to find the GCF of 92225 and 92230?

We will first find the prime factorization of 92225 and 92230. After we will calculate the factors of 92225 and 92230 and find the biggest common factor number .

Step-1: Prime Factorization of 92225

Prime factors of 92225 are 5, 7, 17, 31. Prime factorization of 92225 in exponential form is:

92225 = 5² × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 92230

Prime factors of 92230 are 2, 5, 23, 401. Prime factorization of 92230 in exponential form is:

92230 = 2¹ × 5¹ × 23¹ × 401¹

Step-3: Factors of 92225

List of positive integer factors of 92225 that divides 92225 without a remainder.

1, 5, 7, 17, 25, 31, 35, 85, 119, 155, 175, 217, 425, 527, 595, 775, 1085, 2635, 2975, 3689, 5425, 13175, 18445

Step-4: Factors of 92230

List of positive integer factors of 92230 that divides 92225 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 401, 802, 2005, 4010, 9223, 18446, 46115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92225 and 92230. The biggest common factor number is the GCF number.
So the greatest common factor 92225 and 92230 is 5.

Also check out the Least Common Multiple of 92225 and 92230