What is the Greatest Common Factor of 32430 and 32445?

Greatest common factor (GCF) of 32430 and 32445 is 15.

GCF(32430,32445) = 15

We will now calculate the prime factors of 32430 and 32445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32430 and 32445.

How to find the GCF of 32430 and 32445?

We will first find the prime factorization of 32430 and 32445. After we will calculate the factors of 32430 and 32445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32445

Prime factors of 32445 are 3, 5, 7, 103. Prime factorization of 32445 in exponential form is:

32445 = 3² × 5¹ × 7¹ × 103¹

Step-3: Factors of 32430

List of positive integer factors of 32430 that divides 32430 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

Step-4: Factors of 32445

List of positive integer factors of 32445 that divides 32430 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 103, 105, 309, 315, 515, 721, 927, 1545, 2163, 3605, 4635, 6489, 10815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32430 and 32445. The biggest common factor number is the GCF number.
So the greatest common factor 32430 and 32445 is 15.

Also check out the Least Common Multiple of 32430 and 32445