What is the Greatest Common Factor of 33690 and 33704?

Greatest common factor (GCF) of 33690 and 33704 is 2.

GCF(33690,33704) = 2

We will now calculate the prime factors of 33690 and 33704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33690 and 33704.

How to find the GCF of 33690 and 33704?

We will first find the prime factorization of 33690 and 33704. After we will calculate the factors of 33690 and 33704 and find the biggest common factor number .

Step-1: Prime Factorization of 33690

Prime factors of 33690 are 2, 3, 5, 1123. Prime factorization of 33690 in exponential form is:

33690 = 2¹ × 3¹ × 5¹ × 1123¹

Step-2: Prime Factorization of 33704

Prime factors of 33704 are 2, 11, 383. Prime factorization of 33704 in exponential form is:

33704 = 2³ × 11¹ × 383¹

Step-3: Factors of 33690

List of positive integer factors of 33690 that divides 33690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1123, 2246, 3369, 5615, 6738, 11230, 16845

Step-4: Factors of 33704

List of positive integer factors of 33704 that divides 33690 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 383, 766, 1532, 3064, 4213, 8426, 16852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33690 and 33704. The biggest common factor number is the GCF number.
So the greatest common factor 33690 and 33704 is 2.

Also check out the Least Common Multiple of 33690 and 33704