What is the Greatest Common Factor of 32415 and 32430?

Greatest common factor (GCF) of 32415 and 32430 is 15.

GCF(32415,32430) = 15

We will now calculate the prime factors of 32415 and 32430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32415 and 32430.

How to find the GCF of 32415 and 32430?

We will first find the prime factorization of 32415 and 32430. After we will calculate the factors of 32415 and 32430 and find the biggest common factor number .

Step-1: Prime Factorization of 32415

Prime factors of 32415 are 3, 5, 2161. Prime factorization of 32415 in exponential form is:

32415 = 3¹ × 5¹ × 2161¹

Step-2: Prime Factorization of 32430

Prime factors of 32430 are 2, 3, 5, 23, 47. Prime factorization of 32430 in exponential form is:

32430 = 2¹ × 3¹ × 5¹ × 23¹ × 47¹

Step-3: Factors of 32415

List of positive integer factors of 32415 that divides 32415 without a remainder.

1, 3, 5, 15, 2161, 6483, 10805

Step-4: Factors of 32430

List of positive integer factors of 32430 that divides 32415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 47, 69, 94, 115, 138, 141, 230, 235, 282, 345, 470, 690, 705, 1081, 1410, 2162, 3243, 5405, 6486, 10810, 16215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32415 and 32430. The biggest common factor number is the GCF number.
So the greatest common factor 32415 and 32430 is 15.

Also check out the Least Common Multiple of 32415 and 32430