What is the Greatest Common Factor of 2880 and 2894?

Greatest common factor (GCF) of 2880 and 2894 is 2.

GCF(2880,2894) = 2

We will now calculate the prime factors of 2880 and 2894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2880 and 2894.

How to find the GCF of 2880 and 2894?

We will first find the prime factorization of 2880 and 2894. After we will calculate the factors of 2880 and 2894 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 2894

Prime factors of 2894 are 2, 1447. Prime factorization of 2894 in exponential form is:

2894 = 2¹ × 1447¹

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 2894

List of positive integer factors of 2894 that divides 2880 without a remainder.

1, 2, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2880 and 2894. The biggest common factor number is the GCF number.
So the greatest common factor 2880 and 2894 is 2.

Also check out the Least Common Multiple of 2880 and 2894