What is the Greatest Common Factor of 33609 and 33616?

Greatest common factor (GCF) of 33609 and 33616 is 1.

GCF(33609,33616) = 1

We will now calculate the prime factors of 33609 and 33616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33609 and 33616.

How to find the GCF of 33609 and 33616?

We will first find the prime factorization of 33609 and 33616. After we will calculate the factors of 33609 and 33616 and find the biggest common factor number .

Step-1: Prime Factorization of 33609

Prime factors of 33609 are 3, 17, 659. Prime factorization of 33609 in exponential form is:

33609 = 3¹ × 17¹ × 659¹

Step-2: Prime Factorization of 33616

Prime factors of 33616 are 2, 11, 191. Prime factorization of 33616 in exponential form is:

33616 = 2⁴ × 11¹ × 191¹

Step-3: Factors of 33609

List of positive integer factors of 33609 that divides 33609 without a remainder.

1, 3, 17, 51, 659, 1977, 11203

Step-4: Factors of 33616

List of positive integer factors of 33616 that divides 33609 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 191, 382, 764, 1528, 2101, 3056, 4202, 8404, 16808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33609 and 33616. The biggest common factor number is the GCF number.
So the greatest common factor 33609 and 33616 is 1.

Also check out the Least Common Multiple of 33609 and 33616