What is the Greatest Common Factor of 18843 and 18855?

Greatest common factor (GCF) of 18843 and 18855 is 3.

GCF(18843,18855) = 3

We will now calculate the prime factors of 18843 and 18855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18843 and 18855.

How to find the GCF of 18843 and 18855?

We will first find the prime factorization of 18843 and 18855. After we will calculate the factors of 18843 and 18855 and find the biggest common factor number .

Step-1: Prime Factorization of 18843

Prime factors of 18843 are 3, 11, 571. Prime factorization of 18843 in exponential form is:

18843 = 3¹ × 11¹ × 571¹

Step-2: Prime Factorization of 18855

Prime factors of 18855 are 3, 5, 419. Prime factorization of 18855 in exponential form is:

18855 = 3² × 5¹ × 419¹

Step-3: Factors of 18843

List of positive integer factors of 18843 that divides 18843 without a remainder.

1, 3, 11, 33, 571, 1713, 6281

Step-4: Factors of 18855

List of positive integer factors of 18855 that divides 18843 without a remainder.

1, 3, 5, 9, 15, 45, 419, 1257, 2095, 3771, 6285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18843 and 18855. The biggest common factor number is the GCF number.
So the greatest common factor 18843 and 18855 is 3.

Also check out the Least Common Multiple of 18843 and 18855