What is the Greatest Common Factor of 48384 and 48404?

Greatest common factor (GCF) of 48384 and 48404 is 4.

GCF(48384,48404) = 4

We will now calculate the prime factors of 48384 and 48404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48384 and 48404.

How to find the GCF of 48384 and 48404?

We will first find the prime factorization of 48384 and 48404. After we will calculate the factors of 48384 and 48404 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 48404

Prime factors of 48404 are 2, 12101. Prime factorization of 48404 in exponential form is:

48404 = 2² × 12101¹

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 48404

List of positive integer factors of 48404 that divides 48384 without a remainder.

1, 2, 4, 12101, 24202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48384 and 48404. The biggest common factor number is the GCF number.
So the greatest common factor 48384 and 48404 is 4.

Also check out the Least Common Multiple of 48384 and 48404