Question

The numbers have a greatest common factor of and a least common multiple of 36. If one of the numbers is 12, what is the other number?

a) 6
b) 18
c) 24
d) 36

Answer 1

The other number that has a GCF and LCM of 36 when paired with 12 is 18. This is because 18 is a factor of 36, and when 18 is multiplied by 12, the product is 36.

Step-by-step explanation:

The student is asked to find the other number that when paired with 12, has the greatest common factor (GCF) and least common multiple (LCM) of 36. To solve this, we can list the factors of 36 and then look for a number among the options that when multiplied by 12 gives a product of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18. The only number in the options that is a factor of 36 and when multiplied by 12 yields 36 is option b) 18. Therefore, the other number is 18.