What is the Greatest Common Factor of 47248 and 47256?

Greatest common factor (GCF) of 47248 and 47256 is 8.

GCF(47248,47256) = 8

We will now calculate the prime factors of 47248 and 47256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47248 and 47256.

How to find the GCF of 47248 and 47256?

We will first find the prime factorization of 47248 and 47256. After we will calculate the factors of 47248 and 47256 and find the biggest common factor number .

Step-1: Prime Factorization of 47248

Prime factors of 47248 are 2, 2953. Prime factorization of 47248 in exponential form is:

47248 = 2⁴ × 2953¹

Step-2: Prime Factorization of 47256

Prime factors of 47256 are 2, 3, 11, 179. Prime factorization of 47256 in exponential form is:

47256 = 2³ × 3¹ × 11¹ × 179¹

Step-3: Factors of 47248

List of positive integer factors of 47248 that divides 47248 without a remainder.

1, 2, 4, 8, 16, 2953, 5906, 11812, 23624

Step-4: Factors of 47256

List of positive integer factors of 47256 that divides 47248 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 179, 264, 358, 537, 716, 1074, 1432, 1969, 2148, 3938, 4296, 5907, 7876, 11814, 15752, 23628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47248 and 47256. The biggest common factor number is the GCF number.
So the greatest common factor 47248 and 47256 is 8.

Also check out the Least Common Multiple of 47248 and 47256