What is the Greatest Common Factor of 47256 and 47273?

Greatest common factor (GCF) of 47256 and 47273 is 1.

GCF(47256,47273) = 1

We will now calculate the prime factors of 47256 and 47273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47256 and 47273.

How to find the GCF of 47256 and 47273?

We will first find the prime factorization of 47256 and 47273. After we will calculate the factors of 47256 and 47273 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47273

Prime factors of 47273 are 41, 1153. Prime factorization of 47273 in exponential form is:

47273 = 41¹ × 1153¹

Step-3: Factors of 47256

List of positive integer factors of 47256 that divides 47256 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

Step-4: Factors of 47273

List of positive integer factors of 47273 that divides 47256 without a remainder.

1, 41, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47256 and 47273. The biggest common factor number is the GCF number.
So the greatest common factor 47256 and 47273 is 1.

Also check out the Least Common Multiple of 47256 and 47273