What is the Greatest Common Factor of 51840 and 51856?

Greatest common factor (GCF) of 51840 and 51856 is 16.

GCF(51840,51856) = 16

We will now calculate the prime factors of 51840 and 51856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51840 and 51856.

How to find the GCF of 51840 and 51856?

We will first find the prime factorization of 51840 and 51856. After we will calculate the factors of 51840 and 51856 and find the biggest common factor number .

Step-1: Prime Factorization of 51840

Prime factors of 51840 are 2, 3, 5. Prime factorization of 51840 in exponential form is:

51840 = 2⁷ × 3⁴ × 5¹

Step-2: Prime Factorization of 51856

Prime factors of 51856 are 2, 7, 463. Prime factorization of 51856 in exponential form is:

51856 = 2⁴ × 7¹ × 463¹

Step-3: Factors of 51840

List of positive integer factors of 51840 that divides 51840 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, 81, 90, 96, 108, 120, 128, 135, 144, 160, 162, 180, 192, 216, 240, 270, 288, 320, 324, 360, 384, 405, 432, 480, 540, 576, 640, 648, 720, 810, 864, 960, 1080, 1152, 1296, 1440, 1620, 1728, 1920, 2160, 2592, 2880, 3240, 3456, 4320, 5184, 5760, 6480, 8640, 10368, 12960, 17280, 25920

Step-4: Factors of 51856

List of positive integer factors of 51856 that divides 51840 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 463, 926, 1852, 3241, 3704, 6482, 7408, 12964, 25928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51840 and 51856. The biggest common factor number is the GCF number.
So the greatest common factor 51840 and 51856 is 16.

Also check out the Least Common Multiple of 51840 and 51856