What is the Greatest Common Factor of 30448 and 30458?

Greatest common factor (GCF) of 30448 and 30458 is 2.

GCF(30448,30458) = 2

We will now calculate the prime factors of 30448 and 30458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30448 and 30458.

How to find the GCF of 30448 and 30458?

We will first find the prime factorization of 30448 and 30458. After we will calculate the factors of 30448 and 30458 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 30458

Prime factors of 30458 are 2, 97, 157. Prime factorization of 30458 in exponential form is:

30458 = 2¹ × 97¹ × 157¹

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 30458

List of positive integer factors of 30458 that divides 30448 without a remainder.

1, 2, 97, 157, 194, 314, 15229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30448 and 30458. The biggest common factor number is the GCF number.
So the greatest common factor 30448 and 30458 is 2.

Also check out the Least Common Multiple of 30448 and 30458