What is the Greatest Common Factor of 18444 and 18449?

Greatest common factor (GCF) of 18444 and 18449 is 1.

GCF(18444,18449) = 1

We will now calculate the prime factors of 18444 and 18449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18449.

How to find the GCF of 18444 and 18449?

We will first find the prime factorization of 18444 and 18449. After we will calculate the factors of 18444 and 18449 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 18449

Prime factors of 18449 are 19, 971. Prime factorization of 18449 in exponential form is:

18449 = 19¹ × 971¹

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 18449

List of positive integer factors of 18449 that divides 18444 without a remainder.

1, 19, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18449. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18449 is 1.

Also check out the Least Common Multiple of 18444 and 18449