What is the Greatest Common Factor of 2859 and 2871?

Greatest common factor (GCF) of 2859 and 2871 is 3.

GCF(2859,2871) = 3

We will now calculate the prime factors of 2859 and 2871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2859 and 2871.

How to find the GCF of 2859 and 2871?

We will first find the prime factorization of 2859 and 2871. After we will calculate the factors of 2859 and 2871 and find the biggest common factor number .

Step-1: Prime Factorization of 2859

Prime factors of 2859 are 3, 953. Prime factorization of 2859 in exponential form is:

2859 = 3¹ × 953¹

Step-2: Prime Factorization of 2871

Prime factors of 2871 are 3, 11, 29. Prime factorization of 2871 in exponential form is:

2871 = 3² × 11¹ × 29¹

Step-3: Factors of 2859

List of positive integer factors of 2859 that divides 2859 without a remainder.

1, 3, 953

Step-4: Factors of 2871

List of positive integer factors of 2871 that divides 2859 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2859 and 2871. The biggest common factor number is the GCF number.
So the greatest common factor 2859 and 2871 is 3.

Also check out the Least Common Multiple of 2859 and 2871