What is the Greatest Common Factor of 18873 and 18883?

Greatest common factor (GCF) of 18873 and 18883 is 1.

GCF(18873,18883) = 1

We will now calculate the prime factors of 18873 and 18883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18873 and 18883.

How to find the GCF of 18873 and 18883?

We will first find the prime factorization of 18873 and 18883. After we will calculate the factors of 18873 and 18883 and find the biggest common factor number .

Step-1: Prime Factorization of 18873

Prime factors of 18873 are 3, 233. Prime factorization of 18873 in exponential form is:

18873 = 3⁴ × 233¹

Step-2: Prime Factorization of 18883

Prime factors of 18883 are 23, 821. Prime factorization of 18883 in exponential form is:

18883 = 23¹ × 821¹

Step-3: Factors of 18873

List of positive integer factors of 18873 that divides 18873 without a remainder.

1, 3, 9, 27, 81, 233, 699, 2097, 6291

Step-4: Factors of 18883

List of positive integer factors of 18883 that divides 18873 without a remainder.

1, 23, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18873 and 18883. The biggest common factor number is the GCF number.
So the greatest common factor 18873 and 18883 is 1.

Also check out the Least Common Multiple of 18873 and 18883