What is the Greatest Common Factor of 33412 and 33416?

Greatest common factor (GCF) of 33412 and 33416 is 4.

GCF(33412,33416) = 4

We will now calculate the prime factors of 33412 and 33416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33412 and 33416.

How to find the GCF of 33412 and 33416?

We will first find the prime factorization of 33412 and 33416. After we will calculate the factors of 33412 and 33416 and find the biggest common factor number .

Step-1: Prime Factorization of 33412

Prime factors of 33412 are 2, 8353. Prime factorization of 33412 in exponential form is:

33412 = 2² × 8353¹

Step-2: Prime Factorization of 33416

Prime factors of 33416 are 2, 4177. Prime factorization of 33416 in exponential form is:

33416 = 2³ × 4177¹

Step-3: Factors of 33412

List of positive integer factors of 33412 that divides 33412 without a remainder.

1, 2, 4, 8353, 16706

Step-4: Factors of 33416

List of positive integer factors of 33416 that divides 33412 without a remainder.

1, 2, 4, 8, 4177, 8354, 16708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33412 and 33416. The biggest common factor number is the GCF number.
So the greatest common factor 33412 and 33416 is 4.

Also check out the Least Common Multiple of 33412 and 33416