What is the Greatest Common Factor of 33616 and 33634?

Greatest common factor (GCF) of 33616 and 33634 is 2.

GCF(33616,33634) = 2

We will now calculate the prime factors of 33616 and 33634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33616 and 33634.

How to find the GCF of 33616 and 33634?

We will first find the prime factorization of 33616 and 33634. After we will calculate the factors of 33616 and 33634 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 33634

Prime factors of 33634 are 2, 67, 251. Prime factorization of 33634 in exponential form is:

33634 = 2¹ × 67¹ × 251¹

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 33634

List of positive integer factors of 33634 that divides 33616 without a remainder.

1, 2, 67, 134, 251, 502, 16817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33616 and 33634. The biggest common factor number is the GCF number.
So the greatest common factor 33616 and 33634 is 2.

Also check out the Least Common Multiple of 33616 and 33634