What is the Greatest Common Factor of 27840 and 27856?

Greatest common factor (GCF) of 27840 and 27856 is 16.

GCF(27840,27856) = 16

We will now calculate the prime factors of 27840 and 27856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27840 and 27856.

How to find the GCF of 27840 and 27856?

We will first find the prime factorization of 27840 and 27856. After we will calculate the factors of 27840 and 27856 and find the biggest common factor number .

Step-1: Prime Factorization of 27840

Prime factors of 27840 are 2, 3, 5, 29. Prime factorization of 27840 in exponential form is:

27840 = 2⁶ × 3¹ × 5¹ × 29¹

Step-2: Prime Factorization of 27856

Prime factors of 27856 are 2, 1741. Prime factorization of 27856 in exponential form is:

27856 = 2⁴ × 1741¹

Step-3: Factors of 27840

List of positive integer factors of 27840 that divides 27840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 32, 40, 48, 58, 60, 64, 80, 87, 96, 116, 120, 145, 160, 174, 192, 232, 240, 290, 320, 348, 435, 464, 480, 580, 696, 870, 928, 960, 1160, 1392, 1740, 1856, 2320, 2784, 3480, 4640, 5568, 6960, 9280, 13920

Step-4: Factors of 27856

List of positive integer factors of 27856 that divides 27840 without a remainder.

1, 2, 4, 8, 16, 1741, 3482, 6964, 13928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27840 and 27856. The biggest common factor number is the GCF number.
So the greatest common factor 27840 and 27856 is 16.

Also check out the Least Common Multiple of 27840 and 27856