What is the Greatest Common Factor of 28659 and 28667?

Greatest common factor (GCF) of 28659 and 28667 is 1.

GCF(28659,28667) = 1

We will now calculate the prime factors of 28659 and 28667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28659 and 28667.

How to find the GCF of 28659 and 28667?

We will first find the prime factorization of 28659 and 28667. After we will calculate the factors of 28659 and 28667 and find the biggest common factor number .

Step-1: Prime Factorization of 28659

Prime factors of 28659 are 3, 41, 233. Prime factorization of 28659 in exponential form is:

28659 = 3¹ × 41¹ × 233¹

Step-2: Prime Factorization of 28667

Prime factors of 28667 are 109, 263. Prime factorization of 28667 in exponential form is:

28667 = 109¹ × 263¹

Step-3: Factors of 28659

List of positive integer factors of 28659 that divides 28659 without a remainder.

1, 3, 41, 123, 233, 699, 9553

Step-4: Factors of 28667

List of positive integer factors of 28667 that divides 28659 without a remainder.

1, 109, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28659 and 28667. The biggest common factor number is the GCF number.
So the greatest common factor 28659 and 28667 is 1.

Also check out the Least Common Multiple of 28659 and 28667