What is the Greatest Common Factor of 94311 and 94329?

Greatest common factor (GCF) of 94311 and 94329 is 9.

GCF(94311,94329) = 9

We will now calculate the prime factors of 94311 and 94329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94311 and 94329.

How to find the GCF of 94311 and 94329?

We will first find the prime factorization of 94311 and 94329. After we will calculate the factors of 94311 and 94329 and find the biggest common factor number .

Step-1: Prime Factorization of 94311

Prime factors of 94311 are 3, 7, 499. Prime factorization of 94311 in exponential form is:

94311 = 3³ × 7¹ × 499¹

Step-2: Prime Factorization of 94329

Prime factors of 94329 are 3, 47, 223. Prime factorization of 94329 in exponential form is:

94329 = 3² × 47¹ × 223¹

Step-3: Factors of 94311

List of positive integer factors of 94311 that divides 94311 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 499, 1497, 3493, 4491, 10479, 13473, 31437

Step-4: Factors of 94329

List of positive integer factors of 94329 that divides 94311 without a remainder.

1, 3, 9, 47, 141, 223, 423, 669, 2007, 10481, 31443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94311 and 94329. The biggest common factor number is the GCF number.
So the greatest common factor 94311 and 94329 is 9.

Also check out the Least Common Multiple of 94311 and 94329