What is the Greatest Common Factor of 18444 and 18448?

Greatest common factor (GCF) of 18444 and 18448 is 4.

GCF(18444,18448) = 4

We will now calculate the prime factors of 18444 and 18448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18448.

How to find the GCF of 18444 and 18448?

We will first find the prime factorization of 18444 and 18448. After we will calculate the factors of 18444 and 18448 and find the biggest common factor number .

Step-1: Prime Factorization of 18444

Prime factors of 18444 are 2, 3, 29, 53. Prime factorization of 18444 in exponential form is:

18444 = 2² × 3¹ × 29¹ × 53¹

Step-2: Prime Factorization of 18448

Prime factors of 18448 are 2, 1153. Prime factorization of 18448 in exponential form is:

18448 = 2⁴ × 1153¹

Step-3: Factors of 18444

List of positive integer factors of 18444 that divides 18444 without a remainder.

1, 2, 3, 4, 6, 12, 29, 53, 58, 87, 106, 116, 159, 174, 212, 318, 348, 636, 1537, 3074, 4611, 6148, 9222

Step-4: Factors of 18448

List of positive integer factors of 18448 that divides 18444 without a remainder.

1, 2, 4, 8, 16, 1153, 2306, 4612, 9224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18448. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18448 is 4.

Also check out the Least Common Multiple of 18444 and 18448