What is the Greatest Common Factor of 18873 and 18877?

Greatest common factor (GCF) of 18873 and 18877 is 1.

GCF(18873,18877) = 1

We will now calculate the prime factors of 18873 and 18877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18873 and 18877.

How to find the GCF of 18873 and 18877?

We will first find the prime factorization of 18873 and 18877. After we will calculate the factors of 18873 and 18877 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 18877

Prime factors of 18877 are 43, 439. Prime factorization of 18877 in exponential form is:

18877 = 43¹ × 439¹

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 18877

List of positive integer factors of 18877 that divides 18873 without a remainder.

1, 43, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18873 and 18877. The biggest common factor number is the GCF number.
So the greatest common factor 18873 and 18877 is 1.

Also check out the Least Common Multiple of 18873 and 18877