What is the Greatest Common Factor of 47232 and 47250?

Greatest common factor (GCF) of 47232 and 47250 is 18.

GCF(47232,47250) = 18

We will now calculate the prime factors of 47232 and 47250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47232 and 47250.

How to find the GCF of 47232 and 47250?

We will first find the prime factorization of 47232 and 47250. After we will calculate the factors of 47232 and 47250 and find the biggest common factor number .

Step-1: Prime Factorization of 47232

Prime factors of 47232 are 2, 3, 41. Prime factorization of 47232 in exponential form is:

47232 = 2⁷ × 3² × 41¹

Step-2: Prime Factorization of 47250

Prime factors of 47250 are 2, 3, 5, 7. Prime factorization of 47250 in exponential form is:

47250 = 2¹ × 3³ × 5³ × 7¹

Step-3: Factors of 47232

List of positive integer factors of 47232 that divides 47232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 64, 72, 82, 96, 123, 128, 144, 164, 192, 246, 288, 328, 369, 384, 492, 576, 656, 738, 984, 1152, 1312, 1476, 1968, 2624, 2952, 3936, 5248, 5904, 7872, 11808, 15744, 23616

Step-4: Factors of 47250

List of positive integer factors of 47250 that divides 47232 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 125, 126, 135, 150, 175, 189, 210, 225, 250, 270, 315, 350, 375, 378, 450, 525, 630, 675, 750, 875, 945, 1050, 1125, 1350, 1575, 1750, 1890, 2250, 2625, 3150, 3375, 4725, 5250, 6750, 7875, 9450, 15750, 23625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47232 and 47250. The biggest common factor number is the GCF number.
So the greatest common factor 47232 and 47250 is 18.

Also check out the Least Common Multiple of 47232 and 47250