What is the Greatest Common Factor of 3873 and 3889?

Greatest common factor (GCF) of 3873 and 3889 is 1.

GCF(3873,3889) = 1

We will now calculate the prime factors of 3873 and 3889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3873 and 3889.

How to find the GCF of 3873 and 3889?

We will first find the prime factorization of 3873 and 3889. After we will calculate the factors of 3873 and 3889 and find the biggest common factor number .

Step-1: Prime Factorization of 3873

Prime factors of 3873 are 3, 1291. Prime factorization of 3873 in exponential form is:

3873 = 3¹ × 1291¹

Step-2: Prime Factorization of 3889

Prime factors of 3889 are 3889. Prime factorization of 3889 in exponential form is:

3889 = 3889¹

Step-3: Factors of 3873

List of positive integer factors of 3873 that divides 3873 without a remainder.

1, 3, 1291

Step-4: Factors of 3889

List of positive integer factors of 3889 that divides 3873 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3873 and 3889. The biggest common factor number is the GCF number.
So the greatest common factor 3873 and 3889 is 1.

Also check out the Least Common Multiple of 3873 and 3889