What is the Greatest Common Factor of 18444 and 18454?

Greatest common factor (GCF) of 18444 and 18454 is 2.

GCF(18444,18454) = 2

We will now calculate the prime factors of 18444 and 18454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18454.

How to find the GCF of 18444 and 18454?

We will first find the prime factorization of 18444 and 18454. After we will calculate the factors of 18444 and 18454 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 18454

Prime factors of 18454 are 2, 9227. Prime factorization of 18454 in exponential form is:

18454 = 2¹ × 9227¹

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 18454

List of positive integer factors of 18454 that divides 18444 without a remainder.

1, 2, 9227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18454. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18454 is 2.

Also check out the Least Common Multiple of 18444 and 18454