Name 3 pairs of numbers that have 5 as their greatest common factor

(gcf). Use each number only once in your answer.

The Correct Answer and Explanation is:

Here are three pairs of numbers that have 5 as their greatest common factor (GCF):

1. (10, 15)
2. (25, 30)
3. (20, 35)

Explanation:

To find the greatest common factor (GCF), we identify the largest number that divides both numbers in each pair. Here’s how we do it for each pair:

1. Pair (10, 15):
   • The factors of 10 are: 1, 2, 5, 10.
   • The factors of 15 are: 1, 3, 5, 15.
   • The common factors are 1 and 5.
   • The greatest common factor is 5.
2. Pair (25, 30):
   • The factors of 25 are: 1, 5, 25.
   • The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
   • The common factors are 1 and 5.
   • The greatest common factor is 5.
3. Pair (20, 35):
   • The factors of 20 are: 1, 2, 4, 5, 10, 20.
   • The factors of 35 are: 1, 5, 7, 35.
   • The common factors are 1 and 5.
   • The greatest common factor is 5.

In each case, the largest number that divides both numbers in the pair evenly is 5. This means 5 is the GCF for all three pairs.