What is the Greatest Common Factor of 47311 and 47328?

Greatest common factor (GCF) of 47311 and 47328 is 17.

GCF(47311,47328) = 17

We will now calculate the prime factors of 47311 and 47328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47311 and 47328.

How to find the GCF of 47311 and 47328?

We will first find the prime factorization of 47311 and 47328. After we will calculate the factors of 47311 and 47328 and find the biggest common factor number .

Step-1: Prime Factorization of 47311

Prime factors of 47311 are 11, 17, 23. Prime factorization of 47311 in exponential form is:

47311 = 11² × 17¹ × 23¹

Step-2: Prime Factorization of 47328

Prime factors of 47328 are 2, 3, 17, 29. Prime factorization of 47328 in exponential form is:

47328 = 2⁵ × 3¹ × 17¹ × 29¹

Step-3: Factors of 47311

List of positive integer factors of 47311 that divides 47311 without a remainder.

1, 11, 17, 23, 121, 187, 253, 391, 2057, 2783, 4301

Step-4: Factors of 47328

List of positive integer factors of 47328 that divides 47311 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 29, 32, 34, 48, 51, 58, 68, 87, 96, 102, 116, 136, 174, 204, 232, 272, 348, 408, 464, 493, 544, 696, 816, 928, 986, 1392, 1479, 1632, 1972, 2784, 2958, 3944, 5916, 7888, 11832, 15776, 23664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47311 and 47328. The biggest common factor number is the GCF number.
So the greatest common factor 47311 and 47328 is 17.

Also check out the Least Common Multiple of 47311 and 47328