What is the Greatest Common Factor of 28981 and 28989?

Greatest common factor (GCF) of 28981 and 28989 is 1.

GCF(28981,28989) = 1

We will now calculate the prime factors of 28981 and 28989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28981 and 28989.

How to find the GCF of 28981 and 28989?

We will first find the prime factorization of 28981 and 28989. After we will calculate the factors of 28981 and 28989 and find the biggest common factor number .

Step-1: Prime Factorization of 28981

Prime factors of 28981 are 73, 397. Prime factorization of 28981 in exponential form is:

28981 = 73¹ × 397¹

Step-2: Prime Factorization of 28989

Prime factors of 28989 are 3, 3221. Prime factorization of 28989 in exponential form is:

28989 = 3² × 3221¹

Step-3: Factors of 28981

List of positive integer factors of 28981 that divides 28981 without a remainder.

1, 73, 397

Step-4: Factors of 28989

List of positive integer factors of 28989 that divides 28981 without a remainder.

1, 3, 9, 3221, 9663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28981 and 28989. The biggest common factor number is the GCF number.
So the greatest common factor 28981 and 28989 is 1.

Also check out the Least Common Multiple of 28981 and 28989