What is the Greatest Common Factor of 47682 and 47700?

Greatest common factor (GCF) of 47682 and 47700 is 18.

GCF(47682,47700) = 18

We will now calculate the prime factors of 47682 and 47700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47682 and 47700.

How to find the GCF of 47682 and 47700?

We will first find the prime factorization of 47682 and 47700. After we will calculate the factors of 47682 and 47700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47700

Prime factors of 47700 are 2, 3, 5, 53. Prime factorization of 47700 in exponential form is:

47700 = 2² × 3² × 5² × 53¹

Step-3: Factors of 47682

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

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

Step-4: Factors of 47700

List of positive integer factors of 47700 that divides 47682 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 53, 60, 75, 90, 100, 106, 150, 159, 180, 212, 225, 265, 300, 318, 450, 477, 530, 636, 795, 900, 954, 1060, 1325, 1590, 1908, 2385, 2650, 3180, 3975, 4770, 5300, 7950, 9540, 11925, 15900, 23850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47682 and 47700. The biggest common factor number is the GCF number.
So the greatest common factor 47682 and 47700 is 18.

Also check out the Least Common Multiple of 47682 and 47700