What is the Greatest Common Factor of 33219 and 33231?

Greatest common factor (GCF) of 33219 and 33231 is 3.

GCF(33219,33231) = 3

We will now calculate the prime factors of 33219 and 33231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33219 and 33231.

How to find the GCF of 33219 and 33231?

We will first find the prime factorization of 33219 and 33231. After we will calculate the factors of 33219 and 33231 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 33231

Prime factors of 33231 are 3, 11, 19, 53. Prime factorization of 33231 in exponential form is:

33231 = 3¹ × 11¹ × 19¹ × 53¹

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 33231

List of positive integer factors of 33231 that divides 33219 without a remainder.

1, 3, 11, 19, 33, 53, 57, 159, 209, 583, 627, 1007, 1749, 3021, 11077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33219 and 33231. The biggest common factor number is the GCF number.
So the greatest common factor 33219 and 33231 is 3.

Also check out the Least Common Multiple of 33219 and 33231