What is the Greatest Common Factor of 28659 and 28677?

Greatest common factor (GCF) of 28659 and 28677 is 3.

GCF(28659,28677) = 3

We will now calculate the prime factors of 28659 and 28677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28659 and 28677.

How to find the GCF of 28659 and 28677?

We will first find the prime factorization of 28659 and 28677. After we will calculate the factors of 28659 and 28677 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 28677

Prime factors of 28677 are 3, 11, 79. Prime factorization of 28677 in exponential form is:

28677 = 3¹ × 11² × 79¹

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 28677

List of positive integer factors of 28677 that divides 28659 without a remainder.

1, 3, 11, 33, 79, 121, 237, 363, 869, 2607, 9559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28659 and 28677. The biggest common factor number is the GCF number.
So the greatest common factor 28659 and 28677 is 3.

Also check out the Least Common Multiple of 28659 and 28677