What is the Greatest Common Factor of 28672 and 28689?

Greatest common factor (GCF) of 28672 and 28689 is 1.

GCF(28672,28689) = 1

We will now calculate the prime factors of 28672 and 28689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28672 and 28689.

How to find the GCF of 28672 and 28689?

We will first find the prime factorization of 28672 and 28689. After we will calculate the factors of 28672 and 28689 and find the biggest common factor number .

Step-1: Prime Factorization of 28672

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

28672 = 2¹² × 7¹

Step-2: Prime Factorization of 28689

Prime factors of 28689 are 3, 73, 131. Prime factorization of 28689 in exponential form is:

28689 = 3¹ × 73¹ × 131¹

Step-3: Factors of 28672

List of positive integer factors of 28672 that divides 28672 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

Step-4: Factors of 28689

List of positive integer factors of 28689 that divides 28672 without a remainder.

1, 3, 73, 131, 219, 393, 9563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28672 and 28689. The biggest common factor number is the GCF number.
So the greatest common factor 28672 and 28689 is 1.

Also check out the Least Common Multiple of 28672 and 28689