What is the Greatest Common Factor of 92200 and 92210?

Greatest common factor (GCF) of 92200 and 92210 is 10.

GCF(92200,92210) = 10

We will now calculate the prime factors of 92200 and 92210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92200 and 92210.

How to find the GCF of 92200 and 92210?

We will first find the prime factorization of 92200 and 92210. After we will calculate the factors of 92200 and 92210 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 92210

Prime factors of 92210 are 2, 5, 9221. Prime factorization of 92210 in exponential form is:

92210 = 2¹ × 5¹ × 9221¹

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 92210

List of positive integer factors of 92210 that divides 92200 without a remainder.

1, 2, 5, 10, 9221, 18442, 46105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92200 and 92210. The biggest common factor number is the GCF number.
So the greatest common factor 92200 and 92210 is 10.

Also check out the Least Common Multiple of 92200 and 92210