What is the Greatest Common Factor of 33704 and 33724?

Greatest common factor (GCF) of 33704 and 33724 is 4.

GCF(33704,33724) = 4

We will now calculate the prime factors of 33704 and 33724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33704 and 33724.

How to find the GCF of 33704 and 33724?

We will first find the prime factorization of 33704 and 33724. After we will calculate the factors of 33704 and 33724 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33724

Prime factors of 33724 are 2, 8431. Prime factorization of 33724 in exponential form is:

33724 = 2² × 8431¹

Step-3: Factors of 33704

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

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

Step-4: Factors of 33724

List of positive integer factors of 33724 that divides 33704 without a remainder.

1, 2, 4, 8431, 16862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33704 and 33724. The biggest common factor number is the GCF number.
So the greatest common factor 33704 and 33724 is 4.

Also check out the Least Common Multiple of 33704 and 33724