What is the Greatest Common Factor of 30432 and 30448?

Greatest common factor (GCF) of 30432 and 30448 is 16.

GCF(30432,30448) = 16

We will now calculate the prime factors of 30432 and 30448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30432 and 30448.

How to find the GCF of 30432 and 30448?

We will first find the prime factorization of 30432 and 30448. After we will calculate the factors of 30432 and 30448 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 30448

Prime factors of 30448 are 2, 11, 173. Prime factorization of 30448 in exponential form is:

30448 = 2⁴ × 11¹ × 173¹

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 30448

List of positive integer factors of 30448 that divides 30432 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 173, 176, 346, 692, 1384, 1903, 2768, 3806, 7612, 15224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30432 and 30448. The biggest common factor number is the GCF number.
So the greatest common factor 30432 and 30448 is 16.

Also check out the Least Common Multiple of 30432 and 30448