What is the Greatest Common Factor of 47415 and 47430?

Greatest common factor (GCF) of 47415 and 47430 is 15.

GCF(47415,47430) = 15

We will now calculate the prime factors of 47415 and 47430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47415 and 47430.

How to find the GCF of 47415 and 47430?

We will first find the prime factorization of 47415 and 47430. After we will calculate the factors of 47415 and 47430 and find the biggest common factor number .

Step-1: Prime Factorization of 47415

Prime factors of 47415 are 3, 5, 29, 109. Prime factorization of 47415 in exponential form is:

47415 = 3¹ × 5¹ × 29¹ × 109¹

Step-2: 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-3: Factors of 47415

List of positive integer factors of 47415 that divides 47415 without a remainder.

1, 3, 5, 15, 29, 87, 109, 145, 327, 435, 545, 1635, 3161, 9483, 15805

Step-4: Factors of 47430

List of positive integer factors of 47430 that divides 47415 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47415 and 47430. The biggest common factor number is the GCF number.
So the greatest common factor 47415 and 47430 is 15.

Also check out the Least Common Multiple of 47415 and 47430