What is the Greatest Common Factor of 48375 and 48384?

Greatest common factor (GCF) of 48375 and 48384 is 9.

GCF(48375,48384) = 9

We will now calculate the prime factors of 48375 and 48384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48375 and 48384.

How to find the GCF of 48375 and 48384?

We will first find the prime factorization of 48375 and 48384. After we will calculate the factors of 48375 and 48384 and find the biggest common factor number .

Step-1: Prime Factorization of 48375

Prime factors of 48375 are 3, 5, 43. Prime factorization of 48375 in exponential form is:

48375 = 3² × 5³ × 43¹

Step-2: 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-3: Factors of 48375

List of positive integer factors of 48375 that divides 48375 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 125, 129, 215, 225, 375, 387, 645, 1075, 1125, 1935, 3225, 5375, 9675, 16125

Step-4: Factors of 48384

List of positive integer factors of 48384 that divides 48375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48375 and 48384. The biggest common factor number is the GCF number.
So the greatest common factor 48375 and 48384 is 9.

Also check out the Least Common Multiple of 48375 and 48384