What is the Greatest Common Factor of 33693 and 33704?

Greatest common factor (GCF) of 33693 and 33704 is 11.

GCF(33693,33704) = 11

We will now calculate the prime factors of 33693 and 33704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33693 and 33704.

How to find the GCF of 33693 and 33704?

We will first find the prime factorization of 33693 and 33704. After we will calculate the factors of 33693 and 33704 and find the biggest common factor number .

Step-1: Prime Factorization of 33693

Prime factors of 33693 are 3, 11, 1021. Prime factorization of 33693 in exponential form is:

33693 = 3¹ × 11¹ × 1021¹

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 33693

List of positive integer factors of 33693 that divides 33693 without a remainder.

1, 3, 11, 33, 1021, 3063, 11231

Step-4: Factors of 33704

List of positive integer factors of 33704 that divides 33693 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 33693 and 33704. The biggest common factor number is the GCF number.
So the greatest common factor 33693 and 33704 is 11.

Also check out the Least Common Multiple of 33693 and 33704