What is the Greatest Common Factor of 47312 and 47328?

Greatest common factor (GCF) of 47312 and 47328 is 16.

GCF(47312,47328) = 16

We will now calculate the prime factors of 47312 and 47328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47312 and 47328.

How to find the GCF of 47312 and 47328?

We will first find the prime factorization of 47312 and 47328. After we will calculate the factors of 47312 and 47328 and find the biggest common factor number .

Step-1: Prime Factorization of 47312

Prime factors of 47312 are 2, 2957. Prime factorization of 47312 in exponential form is:

47312 = 2⁴ × 2957¹

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 47312

List of positive integer factors of 47312 that divides 47312 without a remainder.

1, 2, 4, 8, 16, 2957, 5914, 11828, 23656

Step-4: Factors of 47328

List of positive integer factors of 47328 that divides 47312 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 47312 and 47328. The biggest common factor number is the GCF number.
So the greatest common factor 47312 and 47328 is 16.

Also check out the Least Common Multiple of 47312 and 47328