What is the Greatest Common Factor of 32424 and 32430?

Greatest common factor (GCF) of 32424 and 32430 is 6.

GCF(32424,32430) = 6

We will now calculate the prime factors of 32424 and 32430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32424 and 32430.

How to find the GCF of 32424 and 32430?

We will first find the prime factorization of 32424 and 32430. After we will calculate the factors of 32424 and 32430 and find the biggest common factor number .

Step-1: Prime Factorization of 32424

Prime factors of 32424 are 2, 3, 7, 193. Prime factorization of 32424 in exponential form is:

32424 = 2³ × 3¹ × 7¹ × 193¹

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 32424

List of positive integer factors of 32424 that divides 32424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 193, 386, 579, 772, 1158, 1351, 1544, 2316, 2702, 4053, 4632, 5404, 8106, 10808, 16212

Step-4: Factors of 32430

List of positive integer factors of 32430 that divides 32424 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 32424 and 32430. The biggest common factor number is the GCF number.
So the greatest common factor 32424 and 32430 is 6.

Also check out the Least Common Multiple of 32424 and 32430