What is the Greatest Common Factor of 28065 and 28069?

Greatest common factor (GCF) of 28065 and 28069 is 1.

GCF(28065,28069) = 1

We will now calculate the prime factors of 28065 and 28069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28065 and 28069.

How to find the GCF of 28065 and 28069?

We will first find the prime factorization of 28065 and 28069. After we will calculate the factors of 28065 and 28069 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 28069

Prime factors of 28069 are 28069. Prime factorization of 28069 in exponential form is:

28069 = 28069¹

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 28069

List of positive integer factors of 28069 that divides 28065 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28065 and 28069. The biggest common factor number is the GCF number.
So the greatest common factor 28065 and 28069 is 1.

Also check out the Least Common Multiple of 28065 and 28069