What is the Greatest Common Factor of 15840 and 15849?

Greatest common factor (GCF) of 15840 and 15849 is 9.

GCF(15840,15849) = 9

We will now calculate the prime factors of 15840 and 15849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15840 and 15849.

How to find the GCF of 15840 and 15849?

We will first find the prime factorization of 15840 and 15849. After we will calculate the factors of 15840 and 15849 and find the biggest common factor number .

Step-1: Prime Factorization of 15840

Prime factors of 15840 are 2, 3, 5, 11. Prime factorization of 15840 in exponential form is:

15840 = 2⁵ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 15849

Prime factors of 15849 are 3, 587. Prime factorization of 15849 in exponential form is:

15849 = 3³ × 587¹

Step-3: Factors of 15840

List of positive integer factors of 15840 that divides 15840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 96, 99, 110, 120, 132, 144, 160, 165, 176, 180, 198, 220, 240, 264, 288, 330, 352, 360, 396, 440, 480, 495, 528, 660, 720, 792, 880, 990, 1056, 1320, 1440, 1584, 1760, 1980, 2640, 3168, 3960, 5280, 7920

Step-4: Factors of 15849

List of positive integer factors of 15849 that divides 15840 without a remainder.

1, 3, 9, 27, 587, 1761, 5283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15840 and 15849. The biggest common factor number is the GCF number.
So the greatest common factor 15840 and 15849 is 9.

Also check out the Least Common Multiple of 15840 and 15849