What is the Greatest Common Factor of 28672 and 28686?

Greatest common factor (GCF) of 28672 and 28686 is 14.

GCF(28672,28686) = 14

We will now calculate the prime factors of 28672 and 28686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28672 and 28686.

How to find the GCF of 28672 and 28686?

We will first find the prime factorization of 28672 and 28686. After we will calculate the factors of 28672 and 28686 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 28686

Prime factors of 28686 are 2, 3, 7, 683. Prime factorization of 28686 in exponential form is:

28686 = 2¹ × 3¹ × 7¹ × 683¹

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 28686

List of positive integer factors of 28686 that divides 28672 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 683, 1366, 2049, 4098, 4781, 9562, 14343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28672 and 28686. The biggest common factor number is the GCF number.
So the greatest common factor 28672 and 28686 is 14.

Also check out the Least Common Multiple of 28672 and 28686