What is the Greatest Common Factor of 47664 and 47673?

Greatest common factor (GCF) of 47664 and 47673 is 9.

GCF(47664,47673) = 9

We will now calculate the prime factors of 47664 and 47673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47664 and 47673.

How to find the GCF of 47664 and 47673?

We will first find the prime factorization of 47664 and 47673. After we will calculate the factors of 47664 and 47673 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 47673

Prime factors of 47673 are 3, 5297. Prime factorization of 47673 in exponential form is:

47673 = 3² × 5297¹

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 47673

List of positive integer factors of 47673 that divides 47664 without a remainder.

1, 3, 9, 5297, 15891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47664 and 47673. The biggest common factor number is the GCF number.
So the greatest common factor 47664 and 47673 is 9.

Also check out the Least Common Multiple of 47664 and 47673