What is the Greatest Common Factor of 28664 and 28668?

Greatest common factor (GCF) of 28664 and 28668 is 4.

GCF(28664,28668) = 4

We will now calculate the prime factors of 28664 and 28668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28664 and 28668.

How to find the GCF of 28664 and 28668?

We will first find the prime factorization of 28664 and 28668. After we will calculate the factors of 28664 and 28668 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 28668

Prime factors of 28668 are 2, 3, 2389. Prime factorization of 28668 in exponential form is:

28668 = 2² × 3¹ × 2389¹

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 28668

List of positive integer factors of 28668 that divides 28664 without a remainder.

1, 2, 3, 4, 6, 12, 2389, 4778, 7167, 9556, 14334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28664 and 28668. The biggest common factor number is the GCF number.
So the greatest common factor 28664 and 28668 is 4.

Also check out the Least Common Multiple of 28664 and 28668