What is the Greatest Common Factor of 92200 and 92213?

Greatest common factor (GCF) of 92200 and 92213 is 1.

GCF(92200,92213) = 1

We will now calculate the prime factors of 92200 and 92213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92200 and 92213.

How to find the GCF of 92200 and 92213?

We will first find the prime factorization of 92200 and 92213. After we will calculate the factors of 92200 and 92213 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 92213

Prime factors of 92213 are 11, 83, 101. Prime factorization of 92213 in exponential form is:

92213 = 11¹ × 83¹ × 101¹

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 92213

List of positive integer factors of 92213 that divides 92200 without a remainder.

1, 11, 83, 101, 913, 1111, 8383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92200 and 92213. The biggest common factor number is the GCF number.
So the greatest common factor 92200 and 92213 is 1.

Also check out the Least Common Multiple of 92200 and 92213