What is the Greatest Common Factor of 28664 and 28672?

Greatest common factor (GCF) of 28664 and 28672 is 8.

GCF(28664,28672) = 8

We will now calculate the prime factors of 28664 and 28672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28664 and 28672.

How to find the GCF of 28664 and 28672?

We will first find the prime factorization of 28664 and 28672. After we will calculate the factors of 28664 and 28672 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 28672

Prime factors of 28672 are 2, 7. Prime factorization of 28672 in exponential form is:

28672 = 2¹² × 7¹

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 28672

List of positive integer factors of 28672 that divides 28664 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 4096, 7168, 14336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28664 and 28672. The biggest common factor number is the GCF number.
So the greatest common factor 28664 and 28672 is 8.

Also check out the Least Common Multiple of 28664 and 28672