What is the Greatest Common Factor of 33218 and 33223?

Greatest common factor (GCF) of 33218 and 33223 is 1.

GCF(33218,33223) = 1

We will now calculate the prime factors of 33218 and 33223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33218 and 33223.

How to find the GCF of 33218 and 33223?

We will first find the prime factorization of 33218 and 33223. After we will calculate the factors of 33218 and 33223 and find the biggest common factor number .

Step-1: Prime Factorization of 33218

Prime factors of 33218 are 2, 17, 977. Prime factorization of 33218 in exponential form is:

33218 = 2¹ × 17¹ × 977¹

Step-2: Prime Factorization of 33223

Prime factors of 33223 are 33223. Prime factorization of 33223 in exponential form is:

33223 = 33223¹

Step-3: Factors of 33218

List of positive integer factors of 33218 that divides 33218 without a remainder.

1, 2, 17, 34, 977, 1954, 16609

Step-4: Factors of 33223

List of positive integer factors of 33223 that divides 33218 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33218 and 33223. The biggest common factor number is the GCF number.
So the greatest common factor 33218 and 33223 is 1.

Also check out the Least Common Multiple of 33218 and 33223