What is the Greatest Common Factor of 47664 and 47682?

Greatest common factor (GCF) of 47664 and 47682 is 18.

GCF(47664,47682) = 18

We will now calculate the prime factors of 47664 and 47682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47664 and 47682.

How to find the GCF of 47664 and 47682?

We will first find the prime factorization of 47664 and 47682. After we will calculate the factors of 47664 and 47682 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 47682

Prime factors of 47682 are 2, 3, 883. Prime factorization of 47682 in exponential form is:

47682 = 2¹ × 3³ × 883¹

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 47682

List of positive integer factors of 47682 that divides 47664 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 883, 1766, 2649, 5298, 7947, 15894, 23841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47664 and 47682. The biggest common factor number is the GCF number.
So the greatest common factor 47664 and 47682 is 18.

Also check out the Least Common Multiple of 47664 and 47682