What is the Greatest Common Factor of 33224 and 33230?

Greatest common factor (GCF) of 33224 and 33230 is 2.

GCF(33224,33230) = 2

We will now calculate the prime factors of 33224 and 33230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33224 and 33230.

How to find the GCF of 33224 and 33230?

We will first find the prime factorization of 33224 and 33230. After we will calculate the factors of 33224 and 33230 and find the biggest common factor number .

Step-1: Prime Factorization of 33224

Prime factors of 33224 are 2, 4153. Prime factorization of 33224 in exponential form is:

33224 = 2³ × 4153¹

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 33224

List of positive integer factors of 33224 that divides 33224 without a remainder.

1, 2, 4, 8, 4153, 8306, 16612

Step-4: Factors of 33230

List of positive integer factors of 33230 that divides 33224 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33224 and 33230. The biggest common factor number is the GCF number.
So the greatest common factor 33224 and 33230 is 2.

Also check out the Least Common Multiple of 33224 and 33230