What is the Greatest Common Factor of 28784 and 28794?

Greatest common factor (GCF) of 28784 and 28794 is 2.

GCF(28784,28794) = 2

We will now calculate the prime factors of 28784 and 28794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28784 and 28794.

How to find the GCF of 28784 and 28794?

We will first find the prime factorization of 28784 and 28794. After we will calculate the factors of 28784 and 28794 and find the biggest common factor number .

Step-1: Prime Factorization of 28784

Prime factors of 28784 are 2, 7, 257. Prime factorization of 28784 in exponential form is:

28784 = 2⁴ × 7¹ × 257¹

Step-2: Prime Factorization of 28794

Prime factors of 28794 are 2, 3, 4799. Prime factorization of 28794 in exponential form is:

28794 = 2¹ × 3¹ × 4799¹

Step-3: Factors of 28784

List of positive integer factors of 28784 that divides 28784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 257, 514, 1028, 1799, 2056, 3598, 4112, 7196, 14392

Step-4: Factors of 28794

List of positive integer factors of 28794 that divides 28784 without a remainder.

1, 2, 3, 6, 4799, 9598, 14397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28784 and 28794. The biggest common factor number is the GCF number.
So the greatest common factor 28784 and 28794 is 2.

Also check out the Least Common Multiple of 28784 and 28794