What is the Greatest Common Factor of 17280 and 17285?

Greatest common factor (GCF) of 17280 and 17285 is 5.

GCF(17280,17285) = 5

We will now calculate the prime factors of 17280 and 17285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17280 and 17285.

How to find the GCF of 17280 and 17285?

We will first find the prime factorization of 17280 and 17285. After we will calculate the factors of 17280 and 17285 and find the biggest common factor number .

Step-1: Prime Factorization of 17280

Prime factors of 17280 are 2, 3, 5. Prime factorization of 17280 in exponential form is:

17280 = 2⁷ × 3³ × 5¹

Step-2: Prime Factorization of 17285

Prime factors of 17285 are 5, 3457. Prime factorization of 17285 in exponential form is:

17285 = 5¹ × 3457¹

Step-3: Factors of 17280

List of positive integer factors of 17280 that divides 17280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 128, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 384, 432, 480, 540, 576, 640, 720, 864, 960, 1080, 1152, 1440, 1728, 1920, 2160, 2880, 3456, 4320, 5760, 8640

Step-4: Factors of 17285

List of positive integer factors of 17285 that divides 17280 without a remainder.

1, 5, 3457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17280 and 17285. The biggest common factor number is the GCF number.
So the greatest common factor 17280 and 17285 is 5.

Also check out the Least Common Multiple of 17280 and 17285