What is the Greatest Common Factor of 2871 and 2883?

Greatest common factor (GCF) of 2871 and 2883 is 3.

GCF(2871,2883) = 3

We will now calculate the prime factors of 2871 and 2883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2871 and 2883.

How to find the GCF of 2871 and 2883?

We will first find the prime factorization of 2871 and 2883. After we will calculate the factors of 2871 and 2883 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2883

Prime factors of 2883 are 3, 31. Prime factorization of 2883 in exponential form is:

2883 = 3¹ × 31²

Step-3: Factors of 2871

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

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

Step-4: Factors of 2883

List of positive integer factors of 2883 that divides 2871 without a remainder.

1, 3, 31, 93, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2871 and 2883. The biggest common factor number is the GCF number.
So the greatest common factor 2871 and 2883 is 3.

Also check out the Least Common Multiple of 2871 and 2883