What is the Greatest Common Factor of 47385 and 47403?

Greatest common factor (GCF) of 47385 and 47403 is 9.

GCF(47385,47403) = 9

We will now calculate the prime factors of 47385 and 47403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47385 and 47403.

How to find the GCF of 47385 and 47403?

We will first find the prime factorization of 47385 and 47403. After we will calculate the factors of 47385 and 47403 and find the biggest common factor number .

Step-1: Prime Factorization of 47385

Prime factors of 47385 are 3, 5, 13. Prime factorization of 47385 in exponential form is:

47385 = 3⁶ × 5¹ × 13¹

Step-2: Prime Factorization of 47403

Prime factors of 47403 are 3, 23, 229. Prime factorization of 47403 in exponential form is:

47403 = 3² × 23¹ × 229¹

Step-3: Factors of 47385

List of positive integer factors of 47385 that divides 47385 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 243, 351, 405, 585, 729, 1053, 1215, 1755, 3159, 3645, 5265, 9477, 15795

Step-4: Factors of 47403

List of positive integer factors of 47403 that divides 47385 without a remainder.

1, 3, 9, 23, 69, 207, 229, 687, 2061, 5267, 15801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47385 and 47403. The biggest common factor number is the GCF number.
So the greatest common factor 47385 and 47403 is 9.

Also check out the Least Common Multiple of 47385 and 47403