What is the Greatest Common Factor of 28672 and 28678?

Greatest common factor (GCF) of 28672 and 28678 is 2.

GCF(28672,28678) = 2

We will now calculate the prime factors of 28672 and 28678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28672 and 28678.

How to find the GCF of 28672 and 28678?

We will first find the prime factorization of 28672 and 28678. After we will calculate the factors of 28672 and 28678 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 28678

Prime factors of 28678 are 2, 13, 1103. Prime factorization of 28678 in exponential form is:

28678 = 2¹ × 13¹ × 1103¹

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 28678

List of positive integer factors of 28678 that divides 28672 without a remainder.

1, 2, 13, 26, 1103, 2206, 14339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28672 and 28678. The biggest common factor number is the GCF number.
So the greatest common factor 28672 and 28678 is 2.

Also check out the Least Common Multiple of 28672 and 28678