What is the Greatest Common Factor of 92784 and 92800?

Greatest common factor (GCF) of 92784 and 92800 is 16.

GCF(92784,92800) = 16

We will now calculate the prime factors of 92784 and 92800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92784 and 92800.

How to find the GCF of 92784 and 92800?

We will first find the prime factorization of 92784 and 92800. After we will calculate the factors of 92784 and 92800 and find the biggest common factor number .

Step-1: Prime Factorization of 92784

Prime factors of 92784 are 2, 3, 1933. Prime factorization of 92784 in exponential form is:

92784 = 2⁴ × 3¹ × 1933¹

Step-2: Prime Factorization of 92800

Prime factors of 92800 are 2, 5, 29. Prime factorization of 92800 in exponential form is:

92800 = 2⁷ × 5² × 29¹

Step-3: Factors of 92784

List of positive integer factors of 92784 that divides 92784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1933, 3866, 5799, 7732, 11598, 15464, 23196, 30928, 46392

Step-4: Factors of 92800

List of positive integer factors of 92800 that divides 92784 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 32, 40, 50, 58, 64, 80, 100, 116, 128, 145, 160, 200, 232, 290, 320, 400, 464, 580, 640, 725, 800, 928, 1160, 1450, 1600, 1856, 2320, 2900, 3200, 3712, 4640, 5800, 9280, 11600, 18560, 23200, 46400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92784 and 92800. The biggest common factor number is the GCF number.
So the greatest common factor 92784 and 92800 is 16.

Also check out the Least Common Multiple of 92784 and 92800