What is the Greatest Common Factor of 47224 and 47232?

Greatest common factor (GCF) of 47224 and 47232 is 8.

GCF(47224,47232) = 8

We will now calculate the prime factors of 47224 and 47232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47224 and 47232.

How to find the GCF of 47224 and 47232?

We will first find the prime factorization of 47224 and 47232. After we will calculate the factors of 47224 and 47232 and find the biggest common factor number .

Step-1: Prime Factorization of 47224

Prime factors of 47224 are 2, 5903. Prime factorization of 47224 in exponential form is:

47224 = 2³ × 5903¹

Step-2: 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-3: Factors of 47224

List of positive integer factors of 47224 that divides 47224 without a remainder.

1, 2, 4, 8, 5903, 11806, 23612

Step-4: Factors of 47232

List of positive integer factors of 47232 that divides 47224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47224 and 47232. The biggest common factor number is the GCF number.
So the greatest common factor 47224 and 47232 is 8.

Also check out the Least Common Multiple of 47224 and 47232