What is the Greatest Common Factor of 94384 and 94401?

Greatest common factor (GCF) of 94384 and 94401 is 17.

GCF(94384,94401) = 17

We will now calculate the prime factors of 94384 and 94401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94384 and 94401.

How to find the GCF of 94384 and 94401?

We will first find the prime factorization of 94384 and 94401. After we will calculate the factors of 94384 and 94401 and find the biggest common factor number .

Step-1: Prime Factorization of 94384

Prime factors of 94384 are 2, 17, 347. Prime factorization of 94384 in exponential form is:

94384 = 2⁴ × 17¹ × 347¹

Step-2: Prime Factorization of 94401

Prime factors of 94401 are 3, 17, 617. Prime factorization of 94401 in exponential form is:

94401 = 3² × 17¹ × 617¹

Step-3: Factors of 94384

List of positive integer factors of 94384 that divides 94384 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 347, 694, 1388, 2776, 5552, 5899, 11798, 23596, 47192

Step-4: Factors of 94401

List of positive integer factors of 94401 that divides 94384 without a remainder.

1, 3, 9, 17, 51, 153, 617, 1851, 5553, 10489, 31467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94384 and 94401. The biggest common factor number is the GCF number.
So the greatest common factor 94384 and 94401 is 17.

Also check out the Least Common Multiple of 94384 and 94401