What is the Greatest Common Factor of 28083 and 28089?

Greatest common factor (GCF) of 28083 and 28089 is 3.

GCF(28083,28089) = 3

We will now calculate the prime factors of 28083 and 28089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28083 and 28089.

How to find the GCF of 28083 and 28089?

We will first find the prime factorization of 28083 and 28089. After we will calculate the factors of 28083 and 28089 and find the biggest common factor number .

Step-1: Prime Factorization of 28083

Prime factors of 28083 are 3, 11, 23, 37. Prime factorization of 28083 in exponential form is:

28083 = 3¹ × 11¹ × 23¹ × 37¹

Step-2: Prime Factorization of 28089

Prime factors of 28089 are 3, 3121. Prime factorization of 28089 in exponential form is:

28089 = 3² × 3121¹

Step-3: Factors of 28083

List of positive integer factors of 28083 that divides 28083 without a remainder.

1, 3, 11, 23, 33, 37, 69, 111, 253, 407, 759, 851, 1221, 2553, 9361

Step-4: Factors of 28089

List of positive integer factors of 28089 that divides 28083 without a remainder.

1, 3, 9, 3121, 9363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28083 and 28089. The biggest common factor number is the GCF number.
So the greatest common factor 28083 and 28089 is 3.

Also check out the Least Common Multiple of 28083 and 28089