What is the Greatest Common Factor of 92800 and 92808?

Greatest common factor (GCF) of 92800 and 92808 is 8.

GCF(92800,92808) = 8

We will now calculate the prime factors of 92800 and 92808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92800 and 92808.

How to find the GCF of 92800 and 92808?

We will first find the prime factorization of 92800 and 92808. After we will calculate the factors of 92800 and 92808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92808

Prime factors of 92808 are 2, 3, 1289. Prime factorization of 92808 in exponential form is:

92808 = 2³ × 3² × 1289¹

Step-3: Factors of 92800

List of positive integer factors of 92800 that divides 92800 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

Step-4: Factors of 92808

List of positive integer factors of 92808 that divides 92800 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1289, 2578, 3867, 5156, 7734, 10312, 11601, 15468, 23202, 30936, 46404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92800 and 92808. The biggest common factor number is the GCF number.
So the greatest common factor 92800 and 92808 is 8.

Also check out the Least Common Multiple of 92800 and 92808