What is the Greatest Common Factor of 30448 and 30459?

Greatest common factor (GCF) of 30448 and 30459 is 11.

GCF(30448,30459) = 11

We will now calculate the prime factors of 30448 and 30459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30448 and 30459.

How to find the GCF of 30448 and 30459?

We will first find the prime factorization of 30448 and 30459. After we will calculate the factors of 30448 and 30459 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30459

Prime factors of 30459 are 3, 11, 13, 71. Prime factorization of 30459 in exponential form is:

30459 = 3¹ × 11¹ × 13¹ × 71¹

Step-3: Factors of 30448

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

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

Step-4: Factors of 30459

List of positive integer factors of 30459 that divides 30448 without a remainder.

1, 3, 11, 13, 33, 39, 71, 143, 213, 429, 781, 923, 2343, 2769, 10153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30448 and 30459. The biggest common factor number is the GCF number.
So the greatest common factor 30448 and 30459 is 11.

Also check out the Least Common Multiple of 30448 and 30459