What is the Greatest Common Factor of 28791 and 28803?

Greatest common factor (GCF) of 28791 and 28803 is 3.

GCF(28791,28803) = 3

We will now calculate the prime factors of 28791 and 28803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28791 and 28803.

How to find the GCF of 28791 and 28803?

We will first find the prime factorization of 28791 and 28803. After we will calculate the factors of 28791 and 28803 and find the biggest common factor number .

Step-1: Prime Factorization of 28791

Prime factors of 28791 are 3, 7, 457. Prime factorization of 28791 in exponential form is:

28791 = 3² × 7¹ × 457¹

Step-2: Prime Factorization of 28803

Prime factors of 28803 are 3, 9601. Prime factorization of 28803 in exponential form is:

28803 = 3¹ × 9601¹

Step-3: Factors of 28791

List of positive integer factors of 28791 that divides 28791 without a remainder.

1, 3, 7, 9, 21, 63, 457, 1371, 3199, 4113, 9597

Step-4: Factors of 28803

List of positive integer factors of 28803 that divides 28791 without a remainder.

1, 3, 9601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28791 and 28803. The biggest common factor number is the GCF number.
So the greatest common factor 28791 and 28803 is 3.

Also check out the Least Common Multiple of 28791 and 28803