What is the Greatest Common Factor of 18877 and 18882?

Greatest common factor (GCF) of 18877 and 18882 is 1.

GCF(18877,18882) = 1

We will now calculate the prime factors of 18877 and 18882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18877 and 18882.

How to find the GCF of 18877 and 18882?

We will first find the prime factorization of 18877 and 18882. After we will calculate the factors of 18877 and 18882 and find the biggest common factor number .

Step-1: Prime Factorization of 18877

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

18877 = 43¹ × 439¹

Step-2: Prime Factorization of 18882

Prime factors of 18882 are 2, 3, 1049. Prime factorization of 18882 in exponential form is:

18882 = 2¹ × 3² × 1049¹

Step-3: Factors of 18877

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

1, 43, 439

Step-4: Factors of 18882

List of positive integer factors of 18882 that divides 18877 without a remainder.

1, 2, 3, 6, 9, 18, 1049, 2098, 3147, 6294, 9441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18877 and 18882. The biggest common factor number is the GCF number.
So the greatest common factor 18877 and 18882 is 1.

Also check out the Least Common Multiple of 18877 and 18882