What is the Greatest Common Factor of 27872 and 27881?

Greatest common factor (GCF) of 27872 and 27881 is 1.

GCF(27872,27881) = 1

We will now calculate the prime factors of 27872 and 27881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27872 and 27881.

How to find the GCF of 27872 and 27881?

We will first find the prime factorization of 27872 and 27881. After we will calculate the factors of 27872 and 27881 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 27881

Prime factors of 27881 are 7, 569. Prime factorization of 27881 in exponential form is:

27881 = 7² × 569¹

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 27881

List of positive integer factors of 27881 that divides 27872 without a remainder.

1, 7, 49, 569, 3983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27872 and 27881. The biggest common factor number is the GCF number.
So the greatest common factor 27872 and 27881 is 1.

Also check out the Least Common Multiple of 27872 and 27881