What is the Greatest Common Factor of 94384 and 94398?

Greatest common factor (GCF) of 94384 and 94398 is 2.

GCF(94384,94398) = 2

We will now calculate the prime factors of 94384 and 94398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94384 and 94398.

How to find the GCF of 94384 and 94398?

We will first find the prime factorization of 94384 and 94398. After we will calculate the factors of 94384 and 94398 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 94398

Prime factors of 94398 are 2, 3, 15733. Prime factorization of 94398 in exponential form is:

94398 = 2¹ × 3¹ × 15733¹

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 94398

List of positive integer factors of 94398 that divides 94384 without a remainder.

1, 2, 3, 6, 15733, 31466, 47199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94384 and 94398. The biggest common factor number is the GCF number.
So the greatest common factor 94384 and 94398 is 2.

Also check out the Least Common Multiple of 94384 and 94398