What is the Greatest Common Factor of 18444 and 18464?

Greatest common factor (GCF) of 18444 and 18464 is 4.

GCF(18444,18464) = 4

We will now calculate the prime factors of 18444 and 18464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18464.

How to find the GCF of 18444 and 18464?

We will first find the prime factorization of 18444 and 18464. After we will calculate the factors of 18444 and 18464 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 18464

Prime factors of 18464 are 2, 577. Prime factorization of 18464 in exponential form is:

18464 = 2⁵ × 577¹

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 18464

List of positive integer factors of 18464 that divides 18444 without a remainder.

1, 2, 4, 8, 16, 32, 577, 1154, 2308, 4616, 9232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18464. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18464 is 4.

Also check out the Least Common Multiple of 18444 and 18464