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# One common factor of two numbers is 40, the other common factor is 10. If both numbers are less than 100, what are the two numbers?

One common factor of two numbers is 40, the other common factor is 10. If both numbers are less than 100, what are the two numbers?

### 2 Answers by Expert Tutors

David M. | Math Tutor in Many Areas.Math Tutor in Many Areas.
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80 and 40. 80/40=2 80/10=8 40/40=1 40/10=4
Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (11 lesson ratings) (11)
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10 is a factor of 40 so we don't have to worry about 10 at all
40 has to be a factor of two numbers
every number is a factor of itself; 40 is a factor of 40
40 has to be a factor of another number so therefore the other number must be a multiple of 40
the next multiple of 40 is 80
answers: 40 and 80 (both are less than 100 and 10 is a factor of 40 and therefore also a factor of 80)