What is the Greatest Common Factor of 27864 and 27882?

Greatest common factor (GCF) of 27864 and 27882 is 18.

GCF(27864,27882) = 18

We will now calculate the prime factors of 27864 and 27882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27864 and 27882.

How to find the GCF of 27864 and 27882?

We will first find the prime factorization of 27864 and 27882. After we will calculate the factors of 27864 and 27882 and find the biggest common factor number .

Step-1: Prime Factorization of 27864

Prime factors of 27864 are 2, 3, 43. Prime factorization of 27864 in exponential form is:

27864 = 2³ × 3⁴ × 43¹

Step-2: Prime Factorization of 27882

Prime factors of 27882 are 2, 3, 1549. Prime factorization of 27882 in exponential form is:

27882 = 2¹ × 3² × 1549¹

Step-3: Factors of 27864

List of positive integer factors of 27864 that divides 27864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 81, 86, 108, 129, 162, 172, 216, 258, 324, 344, 387, 516, 648, 774, 1032, 1161, 1548, 2322, 3096, 3483, 4644, 6966, 9288, 13932

Step-4: Factors of 27882

List of positive integer factors of 27882 that divides 27864 without a remainder.

1, 2, 3, 6, 9, 18, 1549, 3098, 4647, 9294, 13941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27864 and 27882. The biggest common factor number is the GCF number.
So the greatest common factor 27864 and 27882 is 18.

Also check out the Least Common Multiple of 27864 and 27882