What is the Greatest Common Factor of 47256 and 47267?

Greatest common factor (GCF) of 47256 and 47267 is 11.

GCF(47256,47267) = 11

We will now calculate the prime factors of 47256 and 47267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47256 and 47267.

How to find the GCF of 47256 and 47267?

We will first find the prime factorization of 47256 and 47267. After we will calculate the factors of 47256 and 47267 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 47267

Prime factors of 47267 are 11, 4297. Prime factorization of 47267 in exponential form is:

47267 = 11¹ × 4297¹

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 47267

List of positive integer factors of 47267 that divides 47256 without a remainder.

1, 11, 4297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47256 and 47267. The biggest common factor number is the GCF number.
So the greatest common factor 47256 and 47267 is 11.

Also check out the Least Common Multiple of 47256 and 47267