What is the Greatest Common Factor of 47328 and 47342?

Greatest common factor (GCF) of 47328 and 47342 is 2.

GCF(47328,47342) = 2

We will now calculate the prime factors of 47328 and 47342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47328 and 47342.

How to find the GCF of 47328 and 47342?

We will first find the prime factorization of 47328 and 47342. After we will calculate the factors of 47328 and 47342 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 47342

Prime factors of 47342 are 2, 23671. Prime factorization of 47342 in exponential form is:

47342 = 2¹ × 23671¹

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 47342

List of positive integer factors of 47342 that divides 47328 without a remainder.

1, 2, 23671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47328 and 47342. The biggest common factor number is the GCF number.
So the greatest common factor 47328 and 47342 is 2.

Also check out the Least Common Multiple of 47328 and 47342