What is the Greatest Common Factor of 33212 and 33230?

Greatest common factor (GCF) of 33212 and 33230 is 2.

GCF(33212,33230) = 2

We will now calculate the prime factors of 33212 and 33230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33212 and 33230.

How to find the GCF of 33212 and 33230?

We will first find the prime factorization of 33212 and 33230. After we will calculate the factors of 33212 and 33230 and find the biggest common factor number .

Step-1: Prime Factorization of 33212

Prime factors of 33212 are 2, 19, 23. Prime factorization of 33212 in exponential form is:

33212 = 2² × 19² × 23¹

Step-2: Prime Factorization of 33230

Prime factors of 33230 are 2, 5, 3323. Prime factorization of 33230 in exponential form is:

33230 = 2¹ × 5¹ × 3323¹

Step-3: Factors of 33212

List of positive integer factors of 33212 that divides 33212 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 361, 437, 722, 874, 1444, 1748, 8303, 16606

Step-4: Factors of 33230

List of positive integer factors of 33230 that divides 33212 without a remainder.

1, 2, 5, 10, 3323, 6646, 16615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33212 and 33230. The biggest common factor number is the GCF number.
So the greatest common factor 33212 and 33230 is 2.

Also check out the Least Common Multiple of 33212 and 33230