What is the Greatest Common Factor of 2871 and 2880?

Greatest common factor (GCF) of 2871 and 2880 is 9.

GCF(2871,2880) = 9

We will now calculate the prime factors of 2871 and 2880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2871 and 2880.

How to find the GCF of 2871 and 2880?

We will first find the prime factorization of 2871 and 2880. After we will calculate the factors of 2871 and 2880 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 2880

Prime factors of 2880 are 2, 3, 5. Prime factorization of 2880 in exponential form is:

2880 = 2⁶ × 3² × 5¹

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 2880

List of positive integer factors of 2880 that divides 2871 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2871 and 2880. The biggest common factor number is the GCF number.
So the greatest common factor 2871 and 2880 is 9.

Also check out the Least Common Multiple of 2871 and 2880