What is the Greatest Common Factor of 28218 and 28233?

Greatest common factor (GCF) of 28218 and 28233 is 3.

GCF(28218,28233) = 3

We will now calculate the prime factors of 28218 and 28233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28218 and 28233.

How to find the GCF of 28218 and 28233?

We will first find the prime factorization of 28218 and 28233. After we will calculate the factors of 28218 and 28233 and find the biggest common factor number .

Step-1: Prime Factorization of 28218

Prime factors of 28218 are 2, 3, 4703. Prime factorization of 28218 in exponential form is:

28218 = 2¹ × 3¹ × 4703¹

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 28218

List of positive integer factors of 28218 that divides 28218 without a remainder.

1, 2, 3, 6, 4703, 9406, 14109

Step-4: Factors of 28233

List of positive integer factors of 28233 that divides 28218 without a remainder.

1, 3, 9, 3137, 9411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28218 and 28233. The biggest common factor number is the GCF number.
So the greatest common factor 28218 and 28233 is 3.

Also check out the Least Common Multiple of 28218 and 28233