What is the Greatest Common Factor of 47430 and 47445?

Greatest common factor (GCF) of 47430 and 47445 is 15.

GCF(47430,47445) = 15

We will now calculate the prime factors of 47430 and 47445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47430 and 47445.

How to find the GCF of 47430 and 47445?

We will first find the prime factorization of 47430 and 47445. After we will calculate the factors of 47430 and 47445 and find the biggest common factor number .

Step-1: Prime Factorization of 47430

Prime factors of 47430 are 2, 3, 5, 17, 31. Prime factorization of 47430 in exponential form is:

47430 = 2¹ × 3² × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 47445

Prime factors of 47445 are 3, 5, 3163. Prime factorization of 47445 in exponential form is:

47445 = 3¹ × 5¹ × 3163¹

Step-3: Factors of 47430

List of positive integer factors of 47430 that divides 47430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 31, 34, 45, 51, 62, 85, 90, 93, 102, 153, 155, 170, 186, 255, 279, 306, 310, 465, 510, 527, 558, 765, 930, 1054, 1395, 1530, 1581, 2635, 2790, 3162, 4743, 5270, 7905, 9486, 15810, 23715

Step-4: Factors of 47445

List of positive integer factors of 47445 that divides 47430 without a remainder.

1, 3, 5, 15, 3163, 9489, 15815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47430 and 47445. The biggest common factor number is the GCF number.
So the greatest common factor 47430 and 47445 is 15.

Also check out the Least Common Multiple of 47430 and 47445