What is the Greatest Common Factor of 47664 and 47680?

Greatest common factor (GCF) of 47664 and 47680 is 16.

GCF(47664,47680) = 16

We will now calculate the prime factors of 47664 and 47680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47664 and 47680.

How to find the GCF of 47664 and 47680?

We will first find the prime factorization of 47664 and 47680. After we will calculate the factors of 47664 and 47680 and find the biggest common factor number .

Step-1: Prime Factorization of 47664

Prime factors of 47664 are 2, 3, 331. Prime factorization of 47664 in exponential form is:

47664 = 2⁴ × 3² × 331¹

Step-2: Prime Factorization of 47680

Prime factors of 47680 are 2, 5, 149. Prime factorization of 47680 in exponential form is:

47680 = 2⁶ × 5¹ × 149¹

Step-3: Factors of 47664

List of positive integer factors of 47664 that divides 47664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5296, 5958, 7944, 11916, 15888, 23832

Step-4: Factors of 47680

List of positive integer factors of 47680 that divides 47664 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 149, 160, 298, 320, 596, 745, 1192, 1490, 2384, 2980, 4768, 5960, 9536, 11920, 23840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47664 and 47680. The biggest common factor number is the GCF number.
So the greatest common factor 47664 and 47680 is 16.

Also check out the Least Common Multiple of 47664 and 47680