What is the Greatest Common Factor of 27864 and 27870?

Greatest common factor (GCF) of 27864 and 27870 is 6.

GCF(27864,27870) = 6

We will now calculate the prime factors of 27864 and 27870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27864 and 27870.

How to find the GCF of 27864 and 27870?

We will first find the prime factorization of 27864 and 27870. After we will calculate the factors of 27864 and 27870 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 27870

Prime factors of 27870 are 2, 3, 5, 929. Prime factorization of 27870 in exponential form is:

27870 = 2¹ × 3¹ × 5¹ × 929¹

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 27870

List of positive integer factors of 27870 that divides 27864 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 929, 1858, 2787, 4645, 5574, 9290, 13935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27864 and 27870. The biggest common factor number is the GCF number.
So the greatest common factor 27864 and 27870 is 6.

Also check out the Least Common Multiple of 27864 and 27870