What is the Greatest Common Factor of 27981 and 27993?

Greatest common factor (GCF) of 27981 and 27993 is 3.

GCF(27981,27993) = 3

We will now calculate the prime factors of 27981 and 27993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27981 and 27993.

How to find the GCF of 27981 and 27993?

We will first find the prime factorization of 27981 and 27993. After we will calculate the factors of 27981 and 27993 and find the biggest common factor number .

Step-1: Prime Factorization of 27981

Prime factors of 27981 are 3, 3109. Prime factorization of 27981 in exponential form is:

27981 = 3² × 3109¹

Step-2: Prime Factorization of 27993

Prime factors of 27993 are 3, 7, 31, 43. Prime factorization of 27993 in exponential form is:

27993 = 3¹ × 7¹ × 31¹ × 43¹

Step-3: Factors of 27981

List of positive integer factors of 27981 that divides 27981 without a remainder.

1, 3, 9, 3109, 9327

Step-4: Factors of 27993

List of positive integer factors of 27993 that divides 27981 without a remainder.

1, 3, 7, 21, 31, 43, 93, 129, 217, 301, 651, 903, 1333, 3999, 9331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27981 and 27993. The biggest common factor number is the GCF number.
So the greatest common factor 27981 and 27993 is 3.

Also check out the Least Common Multiple of 27981 and 27993