What is the Greatest Common Factor of 92200 and 92205?

Greatest common factor (GCF) of 92200 and 92205 is 5.

GCF(92200,92205) = 5

We will now calculate the prime factors of 92200 and 92205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92200 and 92205.

How to find the GCF of 92200 and 92205?

We will first find the prime factorization of 92200 and 92205. After we will calculate the factors of 92200 and 92205 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92205

Prime factors of 92205 are 3, 5, 683. Prime factorization of 92205 in exponential form is:

92205 = 3³ × 5¹ × 683¹

Step-3: Factors of 92200

List of positive integer factors of 92200 that divides 92200 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

Step-4: Factors of 92205

List of positive integer factors of 92205 that divides 92200 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 683, 2049, 3415, 6147, 10245, 18441, 30735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92200 and 92205. The biggest common factor number is the GCF number.
So the greatest common factor 92200 and 92205 is 5.

Also check out the Least Common Multiple of 92200 and 92205