What is the Greatest Common Factor of 48384 and 48388?

Greatest common factor (GCF) of 48384 and 48388 is 4.

GCF(48384,48388) = 4

We will now calculate the prime factors of 48384 and 48388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48384 and 48388.

How to find the GCF of 48384 and 48388?

We will first find the prime factorization of 48384 and 48388. After we will calculate the factors of 48384 and 48388 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 48388

Prime factors of 48388 are 2, 12097. Prime factorization of 48388 in exponential form is:

48388 = 2² × 12097¹

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 48388

List of positive integer factors of 48388 that divides 48384 without a remainder.

1, 2, 4, 12097, 24194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48384 and 48388. The biggest common factor number is the GCF number.
So the greatest common factor 48384 and 48388 is 4.

Also check out the Least Common Multiple of 48384 and 48388