What is the Greatest Common Factor of 33596 and 33616?

Greatest common factor (GCF) of 33596 and 33616 is 4.

GCF(33596,33616) = 4

We will now calculate the prime factors of 33596 and 33616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33596 and 33616.

How to find the GCF of 33596 and 33616?

We will first find the prime factorization of 33596 and 33616. After we will calculate the factors of 33596 and 33616 and find the biggest common factor number .

Step-1: Prime Factorization of 33596

Prime factors of 33596 are 2, 37, 227. Prime factorization of 33596 in exponential form is:

33596 = 2² × 37¹ × 227¹

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 33596

List of positive integer factors of 33596 that divides 33596 without a remainder.

1, 2, 4, 37, 74, 148, 227, 454, 908, 8399, 16798

Step-4: Factors of 33616

List of positive integer factors of 33616 that divides 33596 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 33596 and 33616. The biggest common factor number is the GCF number.
So the greatest common factor 33596 and 33616 is 4.

Also check out the Least Common Multiple of 33596 and 33616