What is the Greatest Common Factor of 33214 and 33234?

Greatest common factor (GCF) of 33214 and 33234 is 2.

GCF(33214,33234) = 2

We will now calculate the prime factors of 33214 and 33234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33214 and 33234.

How to find the GCF of 33214 and 33234?

We will first find the prime factorization of 33214 and 33234. After we will calculate the factors of 33214 and 33234 and find the biggest common factor number .

Step-1: Prime Factorization of 33214

Prime factors of 33214 are 2, 16607. Prime factorization of 33214 in exponential form is:

33214 = 2¹ × 16607¹

Step-2: Prime Factorization of 33234

Prime factors of 33234 are 2, 3, 29, 191. Prime factorization of 33234 in exponential form is:

33234 = 2¹ × 3¹ × 29¹ × 191¹

Step-3: Factors of 33214

List of positive integer factors of 33214 that divides 33214 without a remainder.

1, 2, 16607

Step-4: Factors of 33234

List of positive integer factors of 33234 that divides 33214 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 191, 382, 573, 1146, 5539, 11078, 16617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33214 and 33234. The biggest common factor number is the GCF number.
So the greatest common factor 33214 and 33234 is 2.

Also check out the Least Common Multiple of 33214 and 33234