What is the Greatest Common Factor of 47367 and 47385?

Greatest common factor (GCF) of 47367 and 47385 is 9.

GCF(47367,47385) = 9

We will now calculate the prime factors of 47367 and 47385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47367 and 47385.

How to find the GCF of 47367 and 47385?

We will first find the prime factorization of 47367 and 47385. After we will calculate the factors of 47367 and 47385 and find the biggest common factor number .

Step-1: Prime Factorization of 47367

Prime factors of 47367 are 3, 19, 277. Prime factorization of 47367 in exponential form is:

47367 = 3² × 19¹ × 277¹

Step-2: 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-3: Factors of 47367

List of positive integer factors of 47367 that divides 47367 without a remainder.

1, 3, 9, 19, 57, 171, 277, 831, 2493, 5263, 15789

Step-4: Factors of 47385

List of positive integer factors of 47385 that divides 47367 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47367 and 47385. The biggest common factor number is the GCF number.
So the greatest common factor 47367 and 47385 is 9.

Also check out the Least Common Multiple of 47367 and 47385