What is the Greatest Common Factor of 92214 and 92223?

Greatest common factor (GCF) of 92214 and 92223 is 9.

GCF(92214,92223) = 9

We will now calculate the prime factors of 92214 and 92223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92214 and 92223.

How to find the GCF of 92214 and 92223?

We will first find the prime factorization of 92214 and 92223. After we will calculate the factors of 92214 and 92223 and find the biggest common factor number .

Step-1: Prime Factorization of 92214

Prime factors of 92214 are 2, 3, 47, 109. Prime factorization of 92214 in exponential form is:

92214 = 2¹ × 3² × 47¹ × 109¹

Step-2: Prime Factorization of 92223

Prime factors of 92223 are 3, 10247. Prime factorization of 92223 in exponential form is:

92223 = 3² × 10247¹

Step-3: Factors of 92214

List of positive integer factors of 92214 that divides 92214 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 109, 141, 218, 282, 327, 423, 654, 846, 981, 1962, 5123, 10246, 15369, 30738, 46107

Step-4: Factors of 92223

List of positive integer factors of 92223 that divides 92214 without a remainder.

1, 3, 9, 10247, 30741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92214 and 92223. The biggest common factor number is the GCF number.
So the greatest common factor 92214 and 92223 is 9.

Also check out the Least Common Multiple of 92214 and 92223