What is the Greatest Common Factor of 94368 and 94384?

Greatest common factor (GCF) of 94368 and 94384 is 16.

GCF(94368,94384) = 16

We will now calculate the prime factors of 94368 and 94384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94368 and 94384.

How to find the GCF of 94368 and 94384?

We will first find the prime factorization of 94368 and 94384. After we will calculate the factors of 94368 and 94384 and find the biggest common factor number .

Step-1: Prime Factorization of 94368

Prime factors of 94368 are 2, 3, 983. Prime factorization of 94368 in exponential form is:

94368 = 2⁵ × 3¹ × 983¹

Step-2: 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-3: Factors of 94368

List of positive integer factors of 94368 that divides 94368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 983, 1966, 2949, 3932, 5898, 7864, 11796, 15728, 23592, 31456, 47184

Step-4: Factors of 94384

List of positive integer factors of 94384 that divides 94368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94368 and 94384. The biggest common factor number is the GCF number.
So the greatest common factor 94368 and 94384 is 16.

Also check out the Least Common Multiple of 94368 and 94384