What is the Greatest Common Factor of 92225 and 92237?

Greatest common factor (GCF) of 92225 and 92237 is 1.

GCF(92225,92237) = 1

We will now calculate the prime factors of 92225 and 92237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92225 and 92237.

How to find the GCF of 92225 and 92237?

We will first find the prime factorization of 92225 and 92237. After we will calculate the factors of 92225 and 92237 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 92237

Prime factors of 92237 are 92237. Prime factorization of 92237 in exponential form is:

92237 = 92237¹

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 92237

List of positive integer factors of 92237 that divides 92225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92225 and 92237. The biggest common factor number is the GCF number.
So the greatest common factor 92225 and 92237 is 1.

Also check out the Least Common Multiple of 92225 and 92237