What is the Greatest Common Factor of 30432 and 30444?

Greatest common factor (GCF) of 30432 and 30444 is 12.

GCF(30432,30444) = 12

We will now calculate the prime factors of 30432 and 30444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30432 and 30444.

How to find the GCF of 30432 and 30444?

We will first find the prime factorization of 30432 and 30444. After we will calculate the factors of 30432 and 30444 and find the biggest common factor number .

Step-1: Prime Factorization of 30432

Prime factors of 30432 are 2, 3, 317. Prime factorization of 30432 in exponential form is:

30432 = 2⁵ × 3¹ × 317¹

Step-2: Prime Factorization of 30444

Prime factors of 30444 are 2, 3, 43, 59. Prime factorization of 30444 in exponential form is:

30444 = 2² × 3¹ × 43¹ × 59¹

Step-3: Factors of 30432

List of positive integer factors of 30432 that divides 30432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 10144, 15216

Step-4: Factors of 30444

List of positive integer factors of 30444 that divides 30432 without a remainder.

1, 2, 3, 4, 6, 12, 43, 59, 86, 118, 129, 172, 177, 236, 258, 354, 516, 708, 2537, 5074, 7611, 10148, 15222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30432 and 30444. The biggest common factor number is the GCF number.
So the greatest common factor 30432 and 30444 is 12.

Also check out the Least Common Multiple of 30432 and 30444