What is the Greatest Common Factor of 15840 and 15856?

Greatest common factor (GCF) of 15840 and 15856 is 16.

GCF(15840,15856) = 16

We will now calculate the prime factors of 15840 and 15856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15840 and 15856.

How to find the GCF of 15840 and 15856?

We will first find the prime factorization of 15840 and 15856. After we will calculate the factors of 15840 and 15856 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 15856

Prime factors of 15856 are 2, 991. Prime factorization of 15856 in exponential form is:

15856 = 2⁴ × 991¹

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 15856

List of positive integer factors of 15856 that divides 15840 without a remainder.

1, 2, 4, 8, 16, 991, 1982, 3964, 7928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15840 and 15856. The biggest common factor number is the GCF number.
So the greatest common factor 15840 and 15856 is 16.

Also check out the Least Common Multiple of 15840 and 15856