What is the Greatest Common Factor of 27872 and 27889?

Greatest common factor (GCF) of 27872 and 27889 is 1.

GCF(27872,27889) = 1

We will now calculate the prime factors of 27872 and 27889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27872 and 27889.

How to find the GCF of 27872 and 27889?

We will first find the prime factorization of 27872 and 27889. After we will calculate the factors of 27872 and 27889 and find the biggest common factor number .

Step-1: Prime Factorization of 27872

Prime factors of 27872 are 2, 13, 67. Prime factorization of 27872 in exponential form is:

27872 = 2⁵ × 13¹ × 67¹

Step-2: Prime Factorization of 27889

Prime factors of 27889 are 167. Prime factorization of 27889 in exponential form is:

27889 = 167²

Step-3: Factors of 27872

List of positive integer factors of 27872 that divides 27872 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 67, 104, 134, 208, 268, 416, 536, 871, 1072, 1742, 2144, 3484, 6968, 13936

Step-4: Factors of 27889

List of positive integer factors of 27889 that divides 27872 without a remainder.

1, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27872 and 27889. The biggest common factor number is the GCF number.
So the greatest common factor 27872 and 27889 is 1.

Also check out the Least Common Multiple of 27872 and 27889