What is the Greatest Common Factor of 28047 and 28065?

Greatest common factor (GCF) of 28047 and 28065 is 3.

GCF(28047,28065) = 3

We will now calculate the prime factors of 28047 and 28065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28047 and 28065.

How to find the GCF of 28047 and 28065?

We will first find the prime factorization of 28047 and 28065. After we will calculate the factors of 28047 and 28065 and find the biggest common factor number .

Step-1: Prime Factorization of 28047

Prime factors of 28047 are 3, 9349. Prime factorization of 28047 in exponential form is:

28047 = 3¹ × 9349¹

Step-2: Prime Factorization of 28065

Prime factors of 28065 are 3, 5, 1871. Prime factorization of 28065 in exponential form is:

28065 = 3¹ × 5¹ × 1871¹

Step-3: Factors of 28047

List of positive integer factors of 28047 that divides 28047 without a remainder.

1, 3, 9349

Step-4: Factors of 28065

List of positive integer factors of 28065 that divides 28047 without a remainder.

1, 3, 5, 15, 1871, 5613, 9355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28047 and 28065. The biggest common factor number is the GCF number.
So the greatest common factor 28047 and 28065 is 3.

Also check out the Least Common Multiple of 28047 and 28065