What is the Greatest Common Factor of 18435 and 18444?

Greatest common factor (GCF) of 18435 and 18444 is 3.

GCF(18435,18444) = 3

We will now calculate the prime factors of 18435 and 18444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18435 and 18444.

How to find the GCF of 18435 and 18444?

We will first find the prime factorization of 18435 and 18444. After we will calculate the factors of 18435 and 18444 and find the biggest common factor number .

Step-1: Prime Factorization of 18435

Prime factors of 18435 are 3, 5, 1229. Prime factorization of 18435 in exponential form is:

18435 = 3¹ × 5¹ × 1229¹

Step-2: 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-3: Factors of 18435

List of positive integer factors of 18435 that divides 18435 without a remainder.

1, 3, 5, 15, 1229, 3687, 6145

Step-4: Factors of 18444

List of positive integer factors of 18444 that divides 18435 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18435 and 18444. The biggest common factor number is the GCF number.
So the greatest common factor 18435 and 18444 is 3.

Also check out the Least Common Multiple of 18435 and 18444