What is the Greatest Common Factor of 94323 and 94338?

Greatest common factor (GCF) of 94323 and 94338 is 3.

GCF(94323,94338) = 3

We will now calculate the prime factors of 94323 and 94338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94323 and 94338.

How to find the GCF of 94323 and 94338?

We will first find the prime factorization of 94323 and 94338. After we will calculate the factors of 94323 and 94338 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94338

Prime factors of 94338 are 2, 3, 1747. Prime factorization of 94338 in exponential form is:

94338 = 2¹ × 3³ × 1747¹

Step-3: Factors of 94323

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

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

Step-4: Factors of 94338

List of positive integer factors of 94338 that divides 94323 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1747, 3494, 5241, 10482, 15723, 31446, 47169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94323 and 94338. The biggest common factor number is the GCF number.
So the greatest common factor 94323 and 94338 is 3.

Also check out the Least Common Multiple of 94323 and 94338