What is the Greatest Common Factor of 18444 and 18452?

Greatest common factor (GCF) of 18444 and 18452 is 4.

GCF(18444,18452) = 4

We will now calculate the prime factors of 18444 and 18452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18452.

How to find the GCF of 18444 and 18452?

We will first find the prime factorization of 18444 and 18452. After we will calculate the factors of 18444 and 18452 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 18452

Prime factors of 18452 are 2, 7, 659. Prime factorization of 18452 in exponential form is:

18452 = 2² × 7¹ × 659¹

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 18452

List of positive integer factors of 18452 that divides 18444 without a remainder.

1, 2, 4, 7, 14, 28, 659, 1318, 2636, 4613, 9226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18452. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18452 is 4.

Also check out the Least Common Multiple of 18444 and 18452