What is the Greatest Common Factor of 48384 and 48401?

Greatest common factor (GCF) of 48384 and 48401 is 1.

GCF(48384,48401) = 1

We will now calculate the prime factors of 48384 and 48401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48384 and 48401.

How to find the GCF of 48384 and 48401?

We will first find the prime factorization of 48384 and 48401. After we will calculate the factors of 48384 and 48401 and find the biggest common factor number .

Step-1: Prime Factorization of 48384

Prime factors of 48384 are 2, 3, 7. Prime factorization of 48384 in exponential form is:

48384 = 2⁸ × 3³ × 7¹

Step-2: Prime Factorization of 48401

Prime factors of 48401 are 29, 1669. Prime factorization of 48401 in exponential form is:

48401 = 29¹ × 1669¹

Step-3: Factors of 48384

List of positive integer factors of 48384 that divides 48384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 84, 96, 108, 112, 126, 128, 144, 168, 189, 192, 216, 224, 252, 256, 288, 336, 378, 384, 432, 448, 504, 576, 672, 756, 768, 864, 896, 1008, 1152, 1344, 1512, 1728, 1792, 2016, 2304, 2688, 3024, 3456, 4032, 5376, 6048, 6912, 8064, 12096, 16128, 24192

Step-4: Factors of 48401

List of positive integer factors of 48401 that divides 48384 without a remainder.

1, 29, 1669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48384 and 48401. The biggest common factor number is the GCF number.
So the greatest common factor 48384 and 48401 is 1.

Also check out the Least Common Multiple of 48384 and 48401