What is the Greatest Common Factor of 33704 and 33715?

Greatest common factor (GCF) of 33704 and 33715 is 11.

GCF(33704,33715) = 11

We will now calculate the prime factors of 33704 and 33715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33704 and 33715.

How to find the GCF of 33704 and 33715?

We will first find the prime factorization of 33704 and 33715. After we will calculate the factors of 33704 and 33715 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 33715

Prime factors of 33715 are 5, 11, 613. Prime factorization of 33715 in exponential form is:

33715 = 5¹ × 11¹ × 613¹

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 33715

List of positive integer factors of 33715 that divides 33704 without a remainder.

1, 5, 11, 55, 613, 3065, 6743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33704 and 33715. The biggest common factor number is the GCF number.
So the greatest common factor 33704 and 33715 is 11.

Also check out the Least Common Multiple of 33704 and 33715