What is the Greatest Common Factor of 92185 and 92200?

Greatest common factor (GCF) of 92185 and 92200 is 5.

GCF(92185,92200) = 5

We will now calculate the prime factors of 92185 and 92200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92185 and 92200.

How to find the GCF of 92185 and 92200?

We will first find the prime factorization of 92185 and 92200. After we will calculate the factors of 92185 and 92200 and find the biggest common factor number .

Step-1: Prime Factorization of 92185

Prime factors of 92185 are 5, 103, 179. Prime factorization of 92185 in exponential form is:

92185 = 5¹ × 103¹ × 179¹

Step-2: Prime Factorization of 92200

Prime factors of 92200 are 2, 5, 461. Prime factorization of 92200 in exponential form is:

92200 = 2³ × 5² × 461¹

Step-3: Factors of 92185

List of positive integer factors of 92185 that divides 92185 without a remainder.

1, 5, 103, 179, 515, 895, 18437

Step-4: Factors of 92200

List of positive integer factors of 92200 that divides 92185 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 461, 922, 1844, 2305, 3688, 4610, 9220, 11525, 18440, 23050, 46100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92185 and 92200. The biggest common factor number is the GCF number.
So the greatest common factor 92185 and 92200 is 5.

Also check out the Least Common Multiple of 92185 and 92200