What is the Greatest Common Factor of 47385 and 47400?

Greatest common factor (GCF) of 47385 and 47400 is 15.

GCF(47385,47400) = 15

We will now calculate the prime factors of 47385 and 47400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47385 and 47400.

How to find the GCF of 47385 and 47400?

We will first find the prime factorization of 47385 and 47400. After we will calculate the factors of 47385 and 47400 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 47400

Prime factors of 47400 are 2, 3, 5, 79. Prime factorization of 47400 in exponential form is:

47400 = 2³ × 3¹ × 5² × 79¹

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 47400

List of positive integer factors of 47400 that divides 47385 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 79, 100, 120, 150, 158, 200, 237, 300, 316, 395, 474, 600, 632, 790, 948, 1185, 1580, 1896, 1975, 2370, 3160, 3950, 4740, 5925, 7900, 9480, 11850, 15800, 23700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47385 and 47400. The biggest common factor number is the GCF number.
So the greatest common factor 47385 and 47400 is 15.

Also check out the Least Common Multiple of 47385 and 47400