What is the Greatest Common Factor of 92800 and 92815?

Greatest common factor (GCF) of 92800 and 92815 is 5.

GCF(92800,92815) = 5

We will now calculate the prime factors of 92800 and 92815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92800 and 92815.

How to find the GCF of 92800 and 92815?

We will first find the prime factorization of 92800 and 92815. After we will calculate the factors of 92800 and 92815 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 92815

Prime factors of 92815 are 5, 19, 977. Prime factorization of 92815 in exponential form is:

92815 = 5¹ × 19¹ × 977¹

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 92815

List of positive integer factors of 92815 that divides 92800 without a remainder.

1, 5, 19, 95, 977, 4885, 18563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92800 and 92815. The biggest common factor number is the GCF number.
So the greatest common factor 92800 and 92815 is 5.

Also check out the Least Common Multiple of 92800 and 92815