What is the Greatest Common Factor of 28208 and 28218?

Greatest common factor (GCF) of 28208 and 28218 is 2.

GCF(28208,28218) = 2

We will now calculate the prime factors of 28208 and 28218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28208 and 28218.

How to find the GCF of 28208 and 28218?

We will first find the prime factorization of 28208 and 28218. After we will calculate the factors of 28208 and 28218 and find the biggest common factor number .

Step-1: Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 2⁴ × 41¹ × 43¹

Step-2: 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-3: Factors of 28208

List of positive integer factors of 28208 that divides 28208 without a remainder.

1, 2, 4, 8, 16, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1763, 3526, 7052, 14104

Step-4: Factors of 28218

List of positive integer factors of 28218 that divides 28208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28208 and 28218. The biggest common factor number is the GCF number.
So the greatest common factor 28208 and 28218 is 2.

Also check out the Least Common Multiple of 28208 and 28218