What is the Greatest Common Factor of 47673 and 47682?

Greatest common factor (GCF) of 47673 and 47682 is 9.

GCF(47673,47682) = 9

We will now calculate the prime factors of 47673 and 47682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47673 and 47682.

How to find the GCF of 47673 and 47682?

We will first find the prime factorization of 47673 and 47682. After we will calculate the factors of 47673 and 47682 and find the biggest common factor number .

Step-1: Prime Factorization of 47673

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

47673 = 3² × 5297¹

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 47673

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

1, 3, 9, 5297, 15891

Step-4: Factors of 47682

List of positive integer factors of 47682 that divides 47673 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 47673 and 47682. The biggest common factor number is the GCF number.
So the greatest common factor 47673 and 47682 is 9.

Also check out the Least Common Multiple of 47673 and 47682