What is the Greatest Common Factor of 47228 and 47232?

Greatest common factor (GCF) of 47228 and 47232 is 4.

GCF(47228,47232) = 4

We will now calculate the prime factors of 47228 and 47232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47228 and 47232.

How to find the GCF of 47228 and 47232?

We will first find the prime factorization of 47228 and 47232. After we will calculate the factors of 47228 and 47232 and find the biggest common factor number .

Step-1: Prime Factorization of 47228

Prime factors of 47228 are 2, 11807. Prime factorization of 47228 in exponential form is:

47228 = 2² × 11807¹

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 47228

List of positive integer factors of 47228 that divides 47228 without a remainder.

1, 2, 4, 11807, 23614

Step-4: Factors of 47232

List of positive integer factors of 47232 that divides 47228 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 47228 and 47232. The biggest common factor number is the GCF number.
So the greatest common factor 47228 and 47232 is 4.

Also check out the Least Common Multiple of 47228 and 47232