Question

list the common factors of the integers 32 and 36.

list the terms with commas in between.
for example, enter factors a, b, and c as: a,b,c do not include spaces in your response.

Explanation:

Find factors of 32

List all positive integers dividing 32.

$$ F_{32} = \{1, 2, 4, 8, 16, 32\} $$

Find factors of 36

List all positive integers dividing 36.

$$ F_{36} = \{1, 2, 3, 4, 6, 9, 12, 18, 36\} $$

Identify common factors

Find the intersection of both factor sets.

$$ F_{32} \cap F_{36} = \{1, 2, 4\} $$

Apply Greatest Common Factor

Using the Greatest Common Factor concept, the largest value in this set is 4.
The complete list of common factors is 1, 2, and 4.

Format the final response

Format the list with commas and no spaces.

$$ 1,2,4 $$

Answer:

List the common factors of the integers 32 and 36.

List the terms with commas in between.
For example, enter factors a, b, and c as: a,b,c Do not include spaces in your response.

<blank>1,2,4</blank>