What is the Greatest Common Factor of 33219 and 33227?

Greatest common factor (GCF) of 33219 and 33227 is 1.

GCF(33219,33227) = 1

We will now calculate the prime factors of 33219 and 33227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33219 and 33227.

How to find the GCF of 33219 and 33227?

We will first find the prime factorization of 33219 and 33227. After we will calculate the factors of 33219 and 33227 and find the biggest common factor number .

Step-1: Prime Factorization of 33219

Prime factors of 33219 are 3, 3691. Prime factorization of 33219 in exponential form is:

33219 = 3² × 3691¹

Step-2: Prime Factorization of 33227

Prime factors of 33227 are 149, 223. Prime factorization of 33227 in exponential form is:

33227 = 149¹ × 223¹

Step-3: Factors of 33219

List of positive integer factors of 33219 that divides 33219 without a remainder.

1, 3, 9, 3691, 11073

Step-4: Factors of 33227

List of positive integer factors of 33227 that divides 33219 without a remainder.

1, 149, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33219 and 33227. The biggest common factor number is the GCF number.
So the greatest common factor 33219 and 33227 is 1.

Also check out the Least Common Multiple of 33219 and 33227