What is the Greatest Common Factor of 94305 and 94323?

Greatest common factor (GCF) of 94305 and 94323 is 3.

GCF(94305,94323) = 3

We will now calculate the prime factors of 94305 and 94323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94305 and 94323.

How to find the GCF of 94305 and 94323?

We will first find the prime factorization of 94305 and 94323. After we will calculate the factors of 94305 and 94323 and find the biggest common factor number .

Step-1: Prime Factorization of 94305

Prime factors of 94305 are 3, 5, 6287. Prime factorization of 94305 in exponential form is:

94305 = 3¹ × 5¹ × 6287¹

Step-2: Prime Factorization of 94323

Prime factors of 94323 are 3, 23, 1367. Prime factorization of 94323 in exponential form is:

94323 = 3¹ × 23¹ × 1367¹

Step-3: Factors of 94305

List of positive integer factors of 94305 that divides 94305 without a remainder.

1, 3, 5, 15, 6287, 18861, 31435

Step-4: Factors of 94323

List of positive integer factors of 94323 that divides 94305 without a remainder.

1, 3, 23, 69, 1367, 4101, 31441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94305 and 94323. The biggest common factor number is the GCF number.
So the greatest common factor 94305 and 94323 is 3.

Also check out the Least Common Multiple of 94305 and 94323