What is the Greatest Common Factor of 92484 and 92500?

Greatest common factor (GCF) of 92484 and 92500 is 4.

GCF(92484,92500) = 4

We will now calculate the prime factors of 92484 and 92500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92484 and 92500.

How to find the GCF of 92484 and 92500?

We will first find the prime factorization of 92484 and 92500. After we will calculate the factors of 92484 and 92500 and find the biggest common factor number .

Step-1: Prime Factorization of 92484

Prime factors of 92484 are 2, 3, 7, 367. Prime factorization of 92484 in exponential form is:

92484 = 2² × 3² × 7¹ × 367¹

Step-2: Prime Factorization of 92500

Prime factors of 92500 are 2, 5, 37. Prime factorization of 92500 in exponential form is:

92500 = 2² × 5⁴ × 37¹

Step-3: Factors of 92484

List of positive integer factors of 92484 that divides 92484 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 367, 734, 1101, 1468, 2202, 2569, 3303, 4404, 5138, 6606, 7707, 10276, 13212, 15414, 23121, 30828, 46242

Step-4: Factors of 92500

List of positive integer factors of 92500 that divides 92484 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 125, 148, 185, 250, 370, 500, 625, 740, 925, 1250, 1850, 2500, 3700, 4625, 9250, 18500, 23125, 46250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92484 and 92500. The biggest common factor number is the GCF number.
So the greatest common factor 92484 and 92500 is 4.

Also check out the Least Common Multiple of 92484 and 92500