What is the Greatest Common Factor of 28672 and 28684?

Greatest common factor (GCF) of 28672 and 28684 is 4.

GCF(28672,28684) = 4

We will now calculate the prime factors of 28672 and 28684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28672 and 28684.

How to find the GCF of 28672 and 28684?

We will first find the prime factorization of 28672 and 28684. After we will calculate the factors of 28672 and 28684 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 28684

Prime factors of 28684 are 2, 71, 101. Prime factorization of 28684 in exponential form is:

28684 = 2² × 71¹ × 101¹

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 28684

List of positive integer factors of 28684 that divides 28672 without a remainder.

1, 2, 4, 71, 101, 142, 202, 284, 404, 7171, 14342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28672 and 28684. The biggest common factor number is the GCF number.
So the greatest common factor 28672 and 28684 is 4.

Also check out the Least Common Multiple of 28672 and 28684