What is the Greatest Common Factor of 28065 and 28071?

Greatest common factor (GCF) of 28065 and 28071 is 3.

GCF(28065,28071) = 3

We will now calculate the prime factors of 28065 and 28071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28065 and 28071.

How to find the GCF of 28065 and 28071?

We will first find the prime factorization of 28065 and 28071. After we will calculate the factors of 28065 and 28071 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28071

Prime factors of 28071 are 3, 3119. Prime factorization of 28071 in exponential form is:

28071 = 3² × 3119¹

Step-3: Factors of 28065

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

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

Step-4: Factors of 28071

List of positive integer factors of 28071 that divides 28065 without a remainder.

1, 3, 9, 3119, 9357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28065 and 28071. The biggest common factor number is the GCF number.
So the greatest common factor 28065 and 28071 is 3.

Also check out the Least Common Multiple of 28065 and 28071