What is the Greatest Common Factor of 47241 and 47256?

Greatest common factor (GCF) of 47241 and 47256 is 3.

GCF(47241,47256) = 3

We will now calculate the prime factors of 47241 and 47256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47241 and 47256.

How to find the GCF of 47241 and 47256?

We will first find the prime factorization of 47241 and 47256. After we will calculate the factors of 47241 and 47256 and find the biggest common factor number .

Step-1: Prime Factorization of 47241

Prime factors of 47241 are 3, 29, 181. Prime factorization of 47241 in exponential form is:

47241 = 3² × 29¹ × 181¹

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 47241

List of positive integer factors of 47241 that divides 47241 without a remainder.

1, 3, 9, 29, 87, 181, 261, 543, 1629, 5249, 15747

Step-4: Factors of 47256

List of positive integer factors of 47256 that divides 47241 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 47241 and 47256. The biggest common factor number is the GCF number.
So the greatest common factor 47241 and 47256 is 3.

Also check out the Least Common Multiple of 47241 and 47256