What is the Greatest Common Factor of 2864 and 2880?

Greatest common factor (GCF) of 2864 and 2880 is 16.

GCF(2864,2880) = 16

We will now calculate the prime factors of 2864 and 2880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2864 and 2880.

How to find the GCF of 2864 and 2880?

We will first find the prime factorization of 2864 and 2880. After we will calculate the factors of 2864 and 2880 and find the biggest common factor number .

Step-1: Prime Factorization of 2864

Prime factors of 2864 are 2, 179. Prime factorization of 2864 in exponential form is:

2864 = 2⁴ × 179¹

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 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1, 2, 4, 8, 16, 179, 358, 716, 1432

Step-4: Factors of 2880

List of positive integer factors of 2880 that divides 2864 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 2864 and 2880. The biggest common factor number is the GCF number.
So the greatest common factor 2864 and 2880 is 16.

Also check out the Least Common Multiple of 2864 and 2880