What is the Greatest Common Factor of 27840 and 27854?

Greatest common factor (GCF) of 27840 and 27854 is 2.

GCF(27840,27854) = 2

We will now calculate the prime factors of 27840 and 27854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27840 and 27854.

How to find the GCF of 27840 and 27854?

We will first find the prime factorization of 27840 and 27854. After we will calculate the factors of 27840 and 27854 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 27854

Prime factors of 27854 are 2, 19, 733. Prime factorization of 27854 in exponential form is:

27854 = 2¹ × 19¹ × 733¹

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 27854

List of positive integer factors of 27854 that divides 27840 without a remainder.

1, 2, 19, 38, 733, 1466, 13927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27840 and 27854. The biggest common factor number is the GCF number.
So the greatest common factor 27840 and 27854 is 2.

Also check out the Least Common Multiple of 27840 and 27854