What is the Greatest Common Factor of 2880 and 2885?

Greatest common factor (GCF) of 2880 and 2885 is 5.

GCF(2880,2885) = 5

We will now calculate the prime factors of 2880 and 2885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2880 and 2885.

How to find the GCF of 2880 and 2885?

We will first find the prime factorization of 2880 and 2885. After we will calculate the factors of 2880 and 2885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2885

Prime factors of 2885 are 5, 577. Prime factorization of 2885 in exponential form is:

2885 = 5¹ × 577¹

Step-3: Factors of 2880

List of positive integer factors of 2880 that divides 2880 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

Step-4: Factors of 2885

List of positive integer factors of 2885 that divides 2880 without a remainder.

1, 5, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2880 and 2885. The biggest common factor number is the GCF number.
So the greatest common factor 2880 and 2885 is 5.

Also check out the Least Common Multiple of 2880 and 2885