What is the Greatest Common Factor of 47310 and 47328?

Greatest common factor (GCF) of 47310 and 47328 is 6.

GCF(47310,47328) = 6

We will now calculate the prime factors of 47310 and 47328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47310 and 47328.

How to find the GCF of 47310 and 47328?

We will first find the prime factorization of 47310 and 47328. After we will calculate the factors of 47310 and 47328 and find the biggest common factor number .

Step-1: Prime Factorization of 47310

Prime factors of 47310 are 2, 3, 5, 19, 83. Prime factorization of 47310 in exponential form is:

47310 = 2¹ × 3¹ × 5¹ × 19¹ × 83¹

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 47310

List of positive integer factors of 47310 that divides 47310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 83, 95, 114, 166, 190, 249, 285, 415, 498, 570, 830, 1245, 1577, 2490, 3154, 4731, 7885, 9462, 15770, 23655

Step-4: Factors of 47328

List of positive integer factors of 47328 that divides 47310 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 47310 and 47328. The biggest common factor number is the GCF number.
So the greatest common factor 47310 and 47328 is 6.

Also check out the Least Common Multiple of 47310 and 47328