What is the Greatest Common Factor of 28221 and 28233?

Greatest common factor (GCF) of 28221 and 28233 is 3.

GCF(28221,28233) = 3

We will now calculate the prime factors of 28221 and 28233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28221 and 28233.

How to find the GCF of 28221 and 28233?

We will first find the prime factorization of 28221 and 28233. After we will calculate the factors of 28221 and 28233 and find the biggest common factor number .

Step-1: Prime Factorization of 28221

Prime factors of 28221 are 3, 23, 409. Prime factorization of 28221 in exponential form is:

28221 = 3¹ × 23¹ × 409¹

Step-2: Prime Factorization of 28233

Prime factors of 28233 are 3, 3137. Prime factorization of 28233 in exponential form is:

28233 = 3² × 3137¹

Step-3: Factors of 28221

List of positive integer factors of 28221 that divides 28221 without a remainder.

1, 3, 23, 69, 409, 1227, 9407

Step-4: Factors of 28233

List of positive integer factors of 28233 that divides 28221 without a remainder.

1, 3, 9, 3137, 9411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28221 and 28233. The biggest common factor number is the GCF number.
So the greatest common factor 28221 and 28233 is 3.

Also check out the Least Common Multiple of 28221 and 28233