What is the Greatest Common Factor of 28786 and 28800?

Greatest common factor (GCF) of 28786 and 28800 is 2.

GCF(28786,28800) = 2

We will now calculate the prime factors of 28786 and 28800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28786 and 28800.

How to find the GCF of 28786 and 28800?

We will first find the prime factorization of 28786 and 28800. After we will calculate the factors of 28786 and 28800 and find the biggest common factor number .

Step-1: Prime Factorization of 28786

Prime factors of 28786 are 2, 37, 389. Prime factorization of 28786 in exponential form is:

28786 = 2¹ × 37¹ × 389¹

Step-2: Prime Factorization of 28800

Prime factors of 28800 are 2, 3, 5. Prime factorization of 28800 in exponential form is:

28800 = 2⁷ × 3² × 5²

Step-3: Factors of 28786

List of positive integer factors of 28786 that divides 28786 without a remainder.

1, 2, 37, 74, 389, 778, 14393

Step-4: Factors of 28800

List of positive integer factors of 28800 that divides 28786 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 64, 72, 75, 80, 90, 96, 100, 120, 128, 144, 150, 160, 180, 192, 200, 225, 240, 288, 300, 320, 360, 384, 400, 450, 480, 576, 600, 640, 720, 800, 900, 960, 1152, 1200, 1440, 1600, 1800, 1920, 2400, 2880, 3200, 3600, 4800, 5760, 7200, 9600, 14400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28786 and 28800. The biggest common factor number is the GCF number.
So the greatest common factor 28786 and 28800 is 2.

Also check out the Least Common Multiple of 28786 and 28800