What is the Greatest Common Factor of 33218 and 33235?

Greatest common factor (GCF) of 33218 and 33235 is 17.

GCF(33218,33235) = 17

We will now calculate the prime factors of 33218 and 33235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33218 and 33235.

How to find the GCF of 33218 and 33235?

We will first find the prime factorization of 33218 and 33235. After we will calculate the factors of 33218 and 33235 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 33235

Prime factors of 33235 are 5, 17, 23. Prime factorization of 33235 in exponential form is:

33235 = 5¹ × 17² × 23¹

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 33235

List of positive integer factors of 33235 that divides 33218 without a remainder.

1, 5, 17, 23, 85, 115, 289, 391, 1445, 1955, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33218 and 33235. The biggest common factor number is the GCF number.
So the greatest common factor 33218 and 33235 is 17.

Also check out the Least Common Multiple of 33218 and 33235