84.6k views
4 votes
Two numbers are between 10 and 20. Their greatest common factor is 3. Which two numbers could they be?

2 Answers

2 votes

Answer:

15 and 18

Explanation:

Because The number 3 is the greatest common factor of 15 and 18, and both numbers are between 10 and 20.

User Bohrax
by
5.2k points
6 votes

Answer:

12 and 15 or

12 and 18 or

15 or 18

Explanation:

The two numbers have to both be divisible by 3, since their greatest common factor is 3. This only leaves..

12, 15, or 18 (no other numbers between 10 and 20 are divisible by 3)

The factors of 12 are: 2, 3, 4, 6, and 12

The factors of 15 are: 3, 5, and 15

The factors of 18 are: 2, 3, 6, 9, and 18

All three numbers have 3 as a greatest common factor, so we have 3 pairs of numbers they could be...

12 and 15 or

12 and 18 or

15 or 18

User Auspex
by
5.6k points
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