What is the Greatest Common Factor of 28979 and 28989?

Greatest common factor (GCF) of 28979 and 28989 is 1.

GCF(28979,28989) = 1

We will now calculate the prime factors of 28979 and 28989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28979 and 28989.

How to find the GCF of 28979 and 28989?

We will first find the prime factorization of 28979 and 28989. After we will calculate the factors of 28979 and 28989 and find the biggest common factor number .

Step-1: Prime Factorization of 28979

Prime factors of 28979 are 28979. Prime factorization of 28979 in exponential form is:

28979 = 28979¹

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 28979

List of positive integer factors of 28979 that divides 28979 without a remainder.

Step-4: Factors of 28989

List of positive integer factors of 28989 that divides 28979 without a remainder.

1, 3, 9, 3221, 9663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28979 and 28989. The biggest common factor number is the GCF number.
So the greatest common factor 28979 and 28989 is 1.

Also check out the Least Common Multiple of 28979 and 28989