What is the Greatest Common Factor of 33604 and 33616?

Greatest common factor (GCF) of 33604 and 33616 is 4.

GCF(33604,33616) = 4

We will now calculate the prime factors of 33604 and 33616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33604 and 33616.

How to find the GCF of 33604 and 33616?

We will first find the prime factorization of 33604 and 33616. After we will calculate the factors of 33604 and 33616 and find the biggest common factor number .

Step-1: Prime Factorization of 33604

Prime factors of 33604 are 2, 31, 271. Prime factorization of 33604 in exponential form is:

33604 = 2² × 31¹ × 271¹

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 33604

List of positive integer factors of 33604 that divides 33604 without a remainder.

1, 2, 4, 31, 62, 124, 271, 542, 1084, 8401, 16802

Step-4: Factors of 33616

List of positive integer factors of 33616 that divides 33604 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 33604 and 33616. The biggest common factor number is the GCF number.
So the greatest common factor 33604 and 33616 is 4.

Also check out the Least Common Multiple of 33604 and 33616