What is the Greatest Common Factor of 92225 and 92238?

Greatest common factor (GCF) of 92225 and 92238 is 1.

GCF(92225,92238) = 1

We will now calculate the prime factors of 92225 and 92238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92225 and 92238.

How to find the GCF of 92225 and 92238?

We will first find the prime factorization of 92225 and 92238. After we will calculate the factors of 92225 and 92238 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 92238

Prime factors of 92238 are 2, 3, 15373. Prime factorization of 92238 in exponential form is:

92238 = 2¹ × 3¹ × 15373¹

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 92238

List of positive integer factors of 92238 that divides 92225 without a remainder.

1, 2, 3, 6, 15373, 30746, 46119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92225 and 92238. The biggest common factor number is the GCF number.
So the greatest common factor 92225 and 92238 is 1.

Also check out the Least Common Multiple of 92225 and 92238