What is the Greatest Common Factor of 47382 and 47397?

Greatest common factor (GCF) of 47382 and 47397 is 3.

GCF(47382,47397) = 3

We will now calculate the prime factors of 47382 and 47397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47382 and 47397.

How to find the GCF of 47382 and 47397?

We will first find the prime factorization of 47382 and 47397. After we will calculate the factors of 47382 and 47397 and find the biggest common factor number .

Step-1: Prime Factorization of 47382

Prime factors of 47382 are 2, 3, 53, 149. Prime factorization of 47382 in exponential form is:

47382 = 2¹ × 3¹ × 53¹ × 149¹

Step-2: Prime Factorization of 47397

Prime factors of 47397 are 3, 7, 37, 61. Prime factorization of 47397 in exponential form is:

47397 = 3¹ × 7¹ × 37¹ × 61¹

Step-3: Factors of 47382

List of positive integer factors of 47382 that divides 47382 without a remainder.

1, 2, 3, 6, 53, 106, 149, 159, 298, 318, 447, 894, 7897, 15794, 23691

Step-4: Factors of 47397

List of positive integer factors of 47397 that divides 47382 without a remainder.

1, 3, 7, 21, 37, 61, 111, 183, 259, 427, 777, 1281, 2257, 6771, 15799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47382 and 47397. The biggest common factor number is the GCF number.
So the greatest common factor 47382 and 47397 is 3.

Also check out the Least Common Multiple of 47382 and 47397