What is the Greatest Common Factor of 28845 and 28857?

Greatest common factor (GCF) of 28845 and 28857 is 3.

GCF(28845,28857) = 3

We will now calculate the prime factors of 28845 and 28857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28845 and 28857.

How to find the GCF of 28845 and 28857?

We will first find the prime factorization of 28845 and 28857. After we will calculate the factors of 28845 and 28857 and find the biggest common factor number .

Step-1: Prime Factorization of 28845

Prime factors of 28845 are 3, 5, 641. Prime factorization of 28845 in exponential form is:

28845 = 3² × 5¹ × 641¹

Step-2: Prime Factorization of 28857

Prime factors of 28857 are 3, 9619. Prime factorization of 28857 in exponential form is:

28857 = 3¹ × 9619¹

Step-3: Factors of 28845

List of positive integer factors of 28845 that divides 28845 without a remainder.

1, 3, 5, 9, 15, 45, 641, 1923, 3205, 5769, 9615

Step-4: Factors of 28857

List of positive integer factors of 28857 that divides 28845 without a remainder.

1, 3, 9619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28845 and 28857. The biggest common factor number is the GCF number.
So the greatest common factor 28845 and 28857 is 3.

Also check out the Least Common Multiple of 28845 and 28857