What is the Greatest Common Factor of 33616 and 33627?

Greatest common factor (GCF) of 33616 and 33627 is 11.

GCF(33616,33627) = 11

We will now calculate the prime factors of 33616 and 33627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33616 and 33627.

How to find the GCF of 33616 and 33627?

We will first find the prime factorization of 33616 and 33627. After we will calculate the factors of 33616 and 33627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33627

Prime factors of 33627 are 3, 11, 1019. Prime factorization of 33627 in exponential form is:

33627 = 3¹ × 11¹ × 1019¹

Step-3: Factors of 33616

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

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

Step-4: Factors of 33627

List of positive integer factors of 33627 that divides 33616 without a remainder.

1, 3, 11, 33, 1019, 3057, 11209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33616 and 33627. The biggest common factor number is the GCF number.
So the greatest common factor 33616 and 33627 is 11.

Also check out the Least Common Multiple of 33616 and 33627