What is the Greatest Common Factor of 30438 and 30448?

Greatest common factor (GCF) of 30438 and 30448 is 2.

GCF(30438,30448) = 2

We will now calculate the prime factors of 30438 and 30448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30438 and 30448.

How to find the GCF of 30438 and 30448?

We will first find the prime factorization of 30438 and 30448. After we will calculate the factors of 30438 and 30448 and find the biggest common factor number .

Step-1: Prime Factorization of 30438

Prime factors of 30438 are 2, 3, 19, 89. Prime factorization of 30438 in exponential form is:

30438 = 2¹ × 3² × 19¹ × 89¹

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 30438

List of positive integer factors of 30438 that divides 30438 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 89, 114, 171, 178, 267, 342, 534, 801, 1602, 1691, 3382, 5073, 10146, 15219

Step-4: Factors of 30448

List of positive integer factors of 30448 that divides 30438 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 30438 and 30448. The biggest common factor number is the GCF number.
So the greatest common factor 30438 and 30448 is 2.

Also check out the Least Common Multiple of 30438 and 30448