What is the Greatest Common Factor of 47328 and 47344?

Greatest common factor (GCF) of 47328 and 47344 is 16.

GCF(47328,47344) = 16

We will now calculate the prime factors of 47328 and 47344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47328 and 47344.

How to find the GCF of 47328 and 47344?

We will first find the prime factorization of 47328 and 47344. After we will calculate the factors of 47328 and 47344 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47344

Prime factors of 47344 are 2, 11, 269. Prime factorization of 47344 in exponential form is:

47344 = 2⁴ × 11¹ × 269¹

Step-3: Factors of 47328

List of positive integer factors of 47328 that divides 47328 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

Step-4: Factors of 47344

List of positive integer factors of 47344 that divides 47328 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 269, 538, 1076, 2152, 2959, 4304, 5918, 11836, 23672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47328 and 47344. The biggest common factor number is the GCF number.
So the greatest common factor 47328 and 47344 is 16.

Also check out the Least Common Multiple of 47328 and 47344