What is the Greatest Common Factor of 28664 and 28669?

Greatest common factor (GCF) of 28664 and 28669 is 1.

GCF(28664,28669) = 1

We will now calculate the prime factors of 28664 and 28669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28664 and 28669.

How to find the GCF of 28664 and 28669?

We will first find the prime factorization of 28664 and 28669. After we will calculate the factors of 28664 and 28669 and find the biggest common factor number .

Step-1: Prime Factorization of 28664

Prime factors of 28664 are 2, 3583. Prime factorization of 28664 in exponential form is:

28664 = 2³ × 3583¹

Step-2: Prime Factorization of 28669

Prime factors of 28669 are 28669. Prime factorization of 28669 in exponential form is:

28669 = 28669¹

Step-3: Factors of 28664

List of positive integer factors of 28664 that divides 28664 without a remainder.

1, 2, 4, 8, 3583, 7166, 14332

Step-4: Factors of 28669

List of positive integer factors of 28669 that divides 28664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28664 and 28669. The biggest common factor number is the GCF number.
So the greatest common factor 28664 and 28669 is 1.

Also check out the Least Common Multiple of 28664 and 28669